{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "# Steps to Tackle a Time Series Problem (with Codes in Python)\n",
    "Note: These are just the codes from article"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading and Handling TS in Pandas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "%matplotlib inline\n",
    "from matplotlib.pylab import rcParams\n",
    "rcParams['figure.figsize'] = 15, 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'pd' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-1-daa5a168c400>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mdata\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'/home/sash/Documents/Sem_6/SMAI/Major_Project/Final-Data/FB.csv'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhead\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[1;34m'\\n Data Types:'\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdtypes\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'pd' is not defined"
     ]
    }
   ],
   "source": [
    "data = pd.read_csv('/home/sash/Documents/Sem_6/SMAI/Major_Project/Final-Data/FB.csv')\n",
    "print data.head()\n",
    "print '\\n Data Types:'\n",
    "print data.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reading as datetime format:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'pd' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-2-87d4c8a3ab8f>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[0mdateparse\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mlambda\u001b[0m \u001b[0mdates\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mpd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdatetime\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mstrptime\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdates\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'%Y-%m-%d'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m \u001b[1;31m# dateparse('1962-01')\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mdata\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'/home/sash/Documents/Sem_6/SMAI/Major_Project/Final-Data/FB.csv'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mparse_dates\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'date'\u001b[0m\u001b[1;33m,\u001b[0m                    \u001b[0mindex_col\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'date'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdate_parser\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdateparse\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m \u001b[1;32mprint\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhead\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'pd' is not defined"
     ]
    }
   ],
   "source": [
    "dateparse = lambda dates: pd.datetime.strptime(dates, '%Y-%m-%d')\n",
    "# dateparse('1962-01')\n",
    "data = pd.read_csv('/home/sash/Documents/Sem_6/SMAI/Major_Project/Final-Data/FB.csv', parse_dates='date', \\\n",
    "                   index_col='date',date_parser=dateparse)\n",
    "print data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<class 'pandas.tseries.index.DatetimeIndex'>\n",
       "[2012-05-18, ..., 2016-03-08]\n",
       "Length: 956, Freq: None, Timezone: None"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#check datatype of index\n",
    "data.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18    38.230000\n",
       "2012-05-21    34.029999\n",
       "2012-05-22    31.000000\n",
       "2012-05-23    32.000000\n",
       "2012-05-24    33.029999\n",
       "2012-05-25    31.910000\n",
       "2012-05-29    28.840000\n",
       "2012-05-30    28.190001\n",
       "2012-05-31    29.600000\n",
       "2012-06-01    27.719999\n",
       "Name: adj_close, dtype: float64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#convert to time series:\n",
    "ts = data['adj_close']\n",
    "ts.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Indexing TS arrays:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "38.229999999999997"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#1. Specific the index as a string constant:\n",
    "ts['2012-05-18']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "83.010002"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#2. Import the datetime library and use 'datetime' function:\n",
    "from datetime import datetime\n",
    "ts[datetime(2015, 3, 26)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Get range:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18    38.230000\n",
       "2012-05-21    34.029999\n",
       "2012-05-22    31.000000\n",
       "2012-05-23    32.000000\n",
       "2012-05-24    33.029999\n",
       "2012-05-25    31.910000\n",
       "2012-05-29    28.840000\n",
       "2012-05-30    28.190001\n",
       "2012-05-31    29.600000\n",
       "2012-06-01    27.719999\n",
       "2012-06-04    26.900000\n",
       "2012-06-05    25.870001\n",
       "2012-06-06    26.809999\n",
       "2012-06-07    26.309999\n",
       "2012-06-08    27.100000\n",
       "...\n",
       "2015-03-06    80.010002\n",
       "2015-03-09    79.440002\n",
       "2015-03-10    77.550003\n",
       "2015-03-11    77.570000\n",
       "2015-03-12    78.930000\n",
       "2015-03-13    78.050003\n",
       "2015-03-16    78.070000\n",
       "2015-03-17    79.360001\n",
       "2015-03-18    80.910004\n",
       "2015-03-19    82.750000\n",
       "2015-03-20    83.800003\n",
       "2015-03-23    84.430000\n",
       "2015-03-24    85.309998\n",
       "2015-03-25    82.919998\n",
       "2015-03-26    83.010002\n",
       "Name: adj_close, Length: 717"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#1. Specify the entire range:\n",
    "ts['2012-05-18':'2015-03-26']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18    38.230000\n",
       "2012-05-21    34.029999\n",
       "2012-05-22    31.000000\n",
       "2012-05-23    32.000000\n",
       "2012-05-24    33.029999\n",
       "2012-05-25    31.910000\n",
       "2012-05-29    28.840000\n",
       "2012-05-30    28.190001\n",
       "2012-05-31    29.600000\n",
       "2012-06-01    27.719999\n",
       "2012-06-04    26.900000\n",
       "2012-06-05    25.870001\n",
       "2012-06-06    26.809999\n",
       "2012-06-07    26.309999\n",
       "2012-06-08    27.100000\n",
       "...\n",
       "2015-03-06    80.010002\n",
       "2015-03-09    79.440002\n",
       "2015-03-10    77.550003\n",
       "2015-03-11    77.570000\n",
       "2015-03-12    78.930000\n",
       "2015-03-13    78.050003\n",
       "2015-03-16    78.070000\n",
       "2015-03-17    79.360001\n",
       "2015-03-18    80.910004\n",
       "2015-03-19    82.750000\n",
       "2015-03-20    83.800003\n",
       "2015-03-23    84.430000\n",
       "2015-03-24    85.309998\n",
       "2015-03-25    82.919998\n",
       "2015-03-26    83.010002\n",
       "Name: adj_close, Length: 717"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#2. Use ':' if one of the indices is at ends:\n",
    "ts[:'2015-03-26']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: ends included here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18    38.230000\n",
       "2012-05-21    34.029999\n",
       "2012-05-22    31.000000\n",
       "2012-05-23    32.000000\n",
       "2012-05-24    33.029999\n",
       "2012-05-25    31.910000\n",
       "2012-05-29    28.840000\n",
       "2012-05-30    28.190001\n",
       "2012-05-31    29.600000\n",
       "2012-06-01    27.719999\n",
       "2012-06-04    26.900000\n",
       "2012-06-05    25.870001\n",
       "2012-06-06    26.809999\n",
       "2012-06-07    26.309999\n",
       "2012-06-08    27.100000\n",
       "...\n",
       "2012-12-10    27.840000\n",
       "2012-12-11    27.980000\n",
       "2012-12-12    27.580000\n",
       "2012-12-13    28.240000\n",
       "2012-12-14    26.809999\n",
       "2012-12-17    26.750000\n",
       "2012-12-18    27.709999\n",
       "2012-12-19    27.410000\n",
       "2012-12-20    27.360001\n",
       "2012-12-21    26.260000\n",
       "2012-12-24    26.930000\n",
       "2012-12-26    26.510000\n",
       "2012-12-27    26.049999\n",
       "2012-12-28    25.910000\n",
       "2012-12-31    26.620001\n",
       "Name: adj_close, Length: 155"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#All rows of 1962:\n",
    "ts['2012']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Checking for stationarity\n",
    "\n",
    "## Plot the time-series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f872db9a1d0>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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T49N7evN/Xm9JOizpPdlZuDWSNsrOws2WNFrSLEnfZ/icwxHIE8wAACDHkpOl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\nkiRJkiRJkiRJkiRJkqT25f8AC9rTbGFYeKYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872f3dd410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Function for testing stationarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "def test_stationarity(timeseries):\n",
    "    \n",
    "    #Determing rolling statistics\n",
    "    rolmean = pd.rolling_mean(timeseries, window=12)\n",
    "    rolstd = pd.rolling_std(timeseries, window=12)\n",
    "\n",
    "    #Plot rolling statistics:\n",
    "    orig = plt.plot(timeseries, color='blue',label='Original')\n",
    "    mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
    "    std = plt.plot(rolstd, color='black', label = 'Rolling Std')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean & Standard Deviation')\n",
    "    plt.show(block=False)\n",
    "    \n",
    "    #Perform Dickey-Fuller test:\n",
    "    print 'Results of Dickey-Fuller Test:'\n",
    "    dftest = adfuller(timeseries, autolag='AIC')\n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
    "    for key,value in dftest[4].items():\n",
    "        dfoutput['Critical Value (%s)'%key] = value\n",
    "    print dfoutput"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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O+vTpw7x58+J975YtWwJQtWpVgoODuXTpEnPnzqVr166kSZMGX19fnn322WhV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hAAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872da244d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -0.026673\n",
      "p-value                          0.956270\n",
      "#Lags Used                       6.000000\n",
      "Number of Observations Used    949.000000\n",
      "Critical Value (5%)             -2.864590\n",
      "Critical Value (1%)             -3.437259\n",
      "Critical Value (10%)            -2.568394\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_stationarity(ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Making TS Stationary\n",
    "\n",
    "\n",
    "## Estimating & Eliminating Trend\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f872d8b7e50>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ss9JRR8V6JQCAREJ4AwBksmePByovXSp16CB9+KFb1N96q8+/LVzoVvZ164aq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872f3dd4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_log = np.log(ts)\n",
    "plt.plot(ts_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smoothing:\n",
    "\n",
    "### Moving average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f872f2e9910>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rieXLZ+0fixT5z/fSubNt56tRI0LL/HBbt8KOHTBzplWNiha1/PXVkBCWZ37F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\nEREREREREZE0+H/UqJ5EUx0UlgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872d8b7fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "moving_avg = pd.rolling_mean(ts_log,12)\n",
    "plt.plot(ts_log)\n",
    "plt.plot(moving_avg, color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18         NaN\n",
       "2012-05-21         NaN\n",
       "2012-05-22         NaN\n",
       "2012-05-23         NaN\n",
       "2012-05-24         NaN\n",
       "2012-05-25         NaN\n",
       "2012-05-29         NaN\n",
       "2012-05-30         NaN\n",
       "2012-05-31         NaN\n",
       "2012-06-01         NaN\n",
       "2012-06-04         NaN\n",
       "2012-06-05   -0.162482\n",
       "dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_log_moving_avg_diff = ts_log - moving_avg\n",
    "ts_log_moving_avg_diff.head(12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-06-05   -0.162482\n",
       "2012-06-06   -0.097221\n",
       "2012-06-07   -0.094605\n",
       "2012-06-08   -0.053816\n",
       "2012-06-11   -0.043015\n",
       "dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_log_moving_avg_diff.dropna(inplace=True)\n",
    "ts_log_moving_avg_diff.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ISUnh2WefBcBut3PPPffQv39/xowZwx133MHkyZO9bq9Tp05MmDCBDz/8sPq6N954g1/+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AAAAg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\nkiRJkiRJUlz+PyTcBywV5wmvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872dc05390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                -9.059082e+00\n",
      "p-value                        4.615366e-15\n",
      "#Lags Used                     5.000000e+00\n",
      "Number of Observations Used    9.390000e+02\n",
      "Critical Value (5%)           -2.864623e+00\n",
      "Critical Value (1%)           -3.437333e+00\n",
      "Critical Value (10%)          -2.568412e+00\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_stationarity(ts_log_moving_avg_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exponentially Weighted Moving Average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f872d8c37d0>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rJNjGGH72GYEBoVz3v0aenKHWi1m5siWCIkXsI2PGWH+WChWsHfPnn22dYIHz\n/fctC4WE2DlpZctCv35WMbp1PZjPHp0Ngwfb5r3337f3v9P/eOqUZab69e1ssrJlbY9cjx7w0dP7\nyLJ3A3O//5fb14Pp3CcXa/fl4MDGy1w6coHUGVLTsfx+Cl47ZD2UKVNaiCtZklWnSkCOHDRolobf\n/0oLPj60uf6L9aY+8YStoU2bpHnonIgkKE2bFBEREcCCVp8+8N57lokaNbKJi3nzWtHpmWfCr502\nzQ59PnDAxti3aRPlZjdvWkVo6lRC9x8gxflzkC8flzM9QnD2XGzdGELzDGtI0aypJZ6WLWnYOhP9\nOxzliXPT4McfbRGDBrEnbzM6d4b984/A8uWcWXGAPNd8SXnCF44fxytLFru2dGlLUBUqWFXqTjC8\neNGePn7chqhcuWJZ6YUXIFvG2wx66QwT+/vxVr0dpN+/nZVz/iV1jszUdmwgfZki8Mkn9suIwYAB\nFlwXL7bs5etrLYL161sV6p13LIxmzGh7vh5+2IpljRvbur7+Gg4ddJA56AL5r3lzfZc3E9/1pmDW\nK+TNFsSF00HUaZuXvG90sDPNNCNf5IGm8CYiIuLhvL1h/3548snwYRvOuHULhg+3CYZZsli72+OP\n29TC/v0hd25riQwKsoJPxNywfbsdDt29u7UkAjZqcskSmDnT2vsqVbIyVK1alloiTDhp0AD+791L\n1PefC/Pm4Vi7lqDA26TJl4sUHTvY6+5sOLt509Zy8qRV+x5+2Nrwdu8GnyOh7PjjHHkCfGzM5YED\nNjFl+3Z7UZUqHHSUxm/zWZqnXE7QyXPc9MpA6qzpuXLZwUOpLuCVNy8UKGATSKpX540hubh2/hrf\nbKxE+ipl4vzP45dfrMJ3+7ZVInv0CH/up5/sn9OFC9aWWbs27NxpralHjlgIXLTIAnHfvvazT5sW\n5yWISDKl8CYiIuLBrlyxalLRohamnnnGKj65csX+2o8/hgkT7PV9+tgkw86dLXyMHw9Dh9rWqpgE\nBkLmzLBk+kVaZFhjp0MvXWrlpxdftLRXsOBd3/vVVy0rhZ1Jds73OlWrp+DUhZhbAZ94wvas5chh\nQfXSJdsblyaNdVc+/bT9/OPGWSUse5YQS7U7d7JwlDdZiuai4adN+d+iglw6c4Mp39xg6FB4ru9D\nkCry9v3u3eHGDfs93A9fX8utadOCn1/kqZwR9e9vw1FGjbLfR5489p7ff2/tqCIiUSm8iYiIeLCd\nOy1s/PVVshAkAAAgAElEQVSXjbYPDbVzmPv0uftrPvvMtk9NnGh72pYts4OcW7e2VsLatW1g4rBh\ndpZYJGFTRb75hgtbjpLz1lm8HnvMNom1bWtTSpwwerQFmzFj7PsNG6zStGlTzNePHGndi7duQdeu\ntra8ea3Vc9o028c2YYIFuBMnLD8OG2bXFykCa9bY7yfMjRt3D1UHDlgFs1Qpp36UaBwOC2Ivv2xr\ncMbevdY92qyZBWcRkZgovImIiHiwefNse9iCBTZ+ft06257144/w9992WDNYoDhwwIpR779v0yC7\ndrVKVVQ7dlj4W7XKKluApb1JkywhZcpk4yKrVLF9ZqniPnh6yRILbmPGWIdjcLAF0BkzYr7+4kVr\nk1y61H6+Fi2iX+Pra92PmzbZEJU33oDp06098ddf47zEeJk5E5o2tRAnIuIqCm8iIiIe7KuvLLSM\nHWtnlfn62vCQgQMtgB08CD/8YJWn9ettG9jUqRZyChSArFljeYN//7XQNm6cJcF33rHSXDwHZ/j4\n2O2yZrUqmJeX7Q0bMiRet/1P//5W2Xv3XQtvIiLJgcKbiIiIB3vrLZti/+679r3DYQM9Uqe2otix\nYxaMPvsMHnoIJk+28HbP7HX7Nmzdaidlh03YePdd26TmIiEhNpWxcuXwfXojR9oB3yIiEjNXhDcd\n0i0iIvHy22/WXla3bmKvxPP4+dnkxjBeXrZ/bcoU21e2eLEdiVapkj0f8dpo9u61jXAzZ9pGsVat\nbDpIvnwuX3fKlFbQC7Nvnw1AERGRhKXwJiIicRYYCD17WkvfpEk2mFDhLe6OH7fKW0SVK9sH2BTG\ne7p1y0YcTpxoSbBnTwtxTg4ecZVY2zdFRMQlFN5EROSeDhyAMmUit+rt3WtnYZUoYYM1Tp60gk+H\nDtbyJ7ELDoajRyNPUXTajRvWQzlihI1VfP99Gzd5H8NHRETEc6RI7AWIiEjSdeMGVKxoB0BHdOiQ\ntfCNHm2hzs/Pph9u25Y46/REe/daxTJOVaurV21zWdGiNt5x7lz7h/P00wpuIiIPAP0/vYiIxOjm\nTdi1y8LZp5/aGVZh1beDB+HxxyFnTrsub14bGb9lS/h4e7m3LVugZk0nLz5xwk6DnjHDTrz+809L\n1SIi8kBR5U1ERGL04ot26PPzz0NQEAwfHv7coUPWSjlyJAwebHvf3nvPhhwCnD0Lly4lzro9wU8/\nwddfQ61asVx48iT06mWb4NKnt1O5Z81ScBMReUApvImISDTBwXag8tGjUKOGzcSYOtUmzjscVnkr\nXdq698KqRzVrwubNNoSjalUbgy/RBQXZFrX27e8xkOTUKejd28b7Z85saXn4cLcPIhERkaRF4U1E\nRKLZts32Y/XsCU2a2Lj6zZttm9Xnn1tVrUSJyK8pVQpSpIBnn7VgsnixZZAHhcNh55/FZv58KFvW\nWlHz5o3y5I0blpArVoQMGcJDW+7cCbJmERHxLNrzJiIi0UyfbsMLP/ss/LGsWW24YatW8Nxz0edj\neHlBjx7wySewaJFNsf/pJ+jXz71rdzeHA/z94Ysv7Ouvvop+zSefQJs2kC4drF1rv9tojhyxcZ1l\nylhpM1qyExGRB128TviOA4fD4XDTW4mIyP0aPNgqbv37W9EnZ87Iz4eGQsmSNjsjppa/ixdt+GGn\nTrByJbz9tt2zfXv3rN/devSwM+/mzrVgli+fZbCIgoIge3ZIm9auLVzYWlAjDXZZvtzGdQ4dCq+9\nFvlcBhERSRa87P/b4/V/8ApvIiICWCvkww9D/frwwQfQtGnM1129atuwYssXwcG2J+70aQst6dO7\nfs2J6do1yJMH2ra1/X1BQfb1339bAA6zciV8+KFN69yyBVavtt9hhgx3Lti82cpyv/0G9eolxo8i\nIiJu4IrwprZJEREBbDhJmTKwbNm9r8uSxYmbbd9Oqvnz8avpzfolV7j2djXS9+poAziSic2bbQjk\njBnhjzVvbtW4WbPCt6ktWwYtWlhRbc4cC8n/BbcDB6yEOXWqgpuIiMRKA0tERASw8BZ1CEmcnDpl\nCaV8edu75XDg9Uw7lpfqw+XLWOlp3DjbGJbEORzw5ZcwZUrkx69fD/965UqrUkY0caKFtv/9L/yx\nZcvsTDyAZ56xI9oAWLHCficjR0LLli7/GUREJPlR26SIiAA2VCMoKPKQEqc4HJZWhgyxzW5dutgB\nZins7wdffx3KlYM3WvjY5rdSpWDSJCdLeInjwgUoUsS+Pn/eWj79/aFYMZslsn07vPqq5a9y5SK/\ndu9eq8D5+cG//9oeQX9/SJ36zgWbNsHHH9vmuAkT7GIREUn2XNE2qcqbiIjw22822r948Ti+8PZt\nC2tTp1ooGT/eJnGkCP/PS5Ei8Ouv8OO6YrBxo42tLF8eBgywJJQEhbWQPvoorF9vj82dCwEB9rvq\n18/aJaMGN4AKFWx4ydy5lmEbNoTURw/aEQD589vvq0MHOHxYwU1EROJEe95ERB5g/v6wc6eFkePH\nLbA47fx56NjRKmjr1lliiUHRojYeP0sW6N49PXz7rZWu5s61vsMxYyzQJCE+PlZlK1PG9rA1bgw7\ndkC3bvDRR3ZAeZMmUV7kcFjSmz+f6dd8Odu3IJNSBFDPdw80PgUvvmi9liVLapqkiIjcF4U3EZEH\n2OzZVhDKmxfOnIFcuZx84fnzlmjatLHTplOmvOullStbhercuQgPVqtmH88/bykoc2a7l5vNnQs1\na8Ijj0R+/OhRq0K++KJN4DxyxM62e+stK5a1aBEhf4WG2snbI0ZYn+QLL+BTrQZ7lpykdZespO35\nglUj/+ubFBERuT8KbyIiD7Ddu23ARseO4dMRY7VnDzz7rL1oyJBYq0jFisHChZb1oilb1p5s2dJO\nt27TxtoqE9iGDdC7tx1jULSoDREJCLCuzieftPDWpAkUKAA9e0Z+badOEb7ZtMkOswsOhoED4amn\nIGVKbk2GUb9D215AHURERFxCe95ERB5AFy5Yl9/u3TbWfvhwJ17kcMDYsZZqPvjAqeAWJk8eK9ZF\nnF1144YFJqpXt/Q0frydYD14sB2iFsG8edEnP8bH779D3bo2VKRGDetkrF/fhrW89JJtxbvr/r8b\nNyxwtm1re9feeAO2bYN27f6rQJYubZeWL++6NYuIiCi8iYg8QH7+GaZNg4oVYfRo2L/fhnLco+vR\nBAdbqeq772DrVusnjMO+rUyZ7PKwTObra5W+l166c0GVKtxau5nlo3Zb2at0aZsIEhICWHvn9Olx\n/3nvZvduO4Q8QwY7vWDVKhsAuWkTrFnz35LCBQXBggXQuTM89JBVCZs3t6Ejzz8faUAL2O+3d+8k\nPVBTREQ8kI4KEBF5gDRrZtkrWzYLUrlzOzHwMTQUune3TXG//XbfiaRIERutX7Qo/PKLFe9y5rRB\nIGAzTNq0gbNnsf7F996zcl23bnw6JjNBAbf4eEphUj3dGjJmvK81hHnkEZuxEnYcQERHj9oewMwZ\nQ60i+PPPsGiRJbJnn7XD2vLkidf7i4jIg0dHBYiIiNOCgmDzZquCde1qkyb37nXihX372vjFhQvj\nVUrKkyd8aMnBgzb04/jx8OfPnYN//rF1UqeOlcFmzuTauQDyBPpQLIs/18b9YLP4d+6873VcvGjt\nmoULx/x88aKhZD641foqBwywEty+fbB6tR1ap+AmIiKJRANLREQeEJs32+j7ESPsnGwvL0gV238F\nJk+GP/6wSliGDPF6/7x5rT2xYkU4cMBme8yYAVeu2IySsGB36pQNOQGgZk1WX6jJr962N+3FgzD3\nvTl4NW0KjRuz+0YJ0mVMxYYd6ek4vQ2ZasW+yezPP+38tUhdn5cuWXVt7lzrm8yZEz780Po6U+jv\nOUVEJGnQf5FERB4QJ05YaGvY0Mbfx2r7dgsw8+ZB9uzxfv+QEBvI+OWXVnkrU8aqX35+9nxYeDtx\nIvLr9u+3YtvgwVYA2/xIe5vd37o1q7dmZNavqbhy9DxpWjeztsajR++6hi1bYNgwePNNbHrKmjXW\nq1mokLWEtm8P3t5WaezZU8FNRESSFFXeREQeEIGB1jLplAsXbG/XxInhoxPjqU4duHzZzui+dMmC\nZOHC1jpZsWJ4eDt5MvLrDhywDsa0aa2D8fhxqF07B6eadOP/QuGl92HhcnjkzU/pcPprK6uVLGmD\nRQoWhFatoH59QlOnpVkz6NXjJi1C/oK6w2xPXb9+MHOmnTUnIiKShCm8iYg8IJwOb7duWXDr3Nk+\nu8jAgfbRu7cNTsmYMTy8gYW3QoXCK28hIXZ6wO7d8Mor9ljBguHPL19uEyOHD7cWSO/TGe0NevVi\nzCv7ObPjHz4s5k32jz6Cv/+GtOk4GpSZPBMvwcaKNhClfXsnRm2KiIgkDQpvIiIPiIAAJ8KbwwGv\nvQY5csDnnyfIOv73v/Cvo4a36tXDw9n339v512AtlmDhLWw65vr10KCBfV28uB28DUD27Iz5uy51\n60K3w7BwywAOHnCwbG4A+zZe5buFeSF16gT52URERBKSmvlFRB4QTlXexoyxSY4zZrhlv1fU8PbU\nU3aAdt++8NFHMGqUXRO25S5i5W3jRmvFBAtvPj729a1bdqrBhAl2HMA//8A773rx9uAsFKzziIKb\niIh4LIU3EREPdf58zI/7+cELL0R/PNbwtno1fPGFDSiJ5zlqzooa3h5/HJ54wqpqBw9aZ+O+feHX\nh4W3ixctoJW/M1yyRAm7PjTU7vfII/YjNG5sAyQ3brRplfXru+XHEhERSRAKbyIiSZDDAbNnw48/\nWiCJ6ocfIF8+WLoUFi+2a8Ku27IFpk+PHHoglvC2ezd06mQVt7sdgJYAwsLbpUtw44ZN6J80yVog\nc+WyayLmyLDwtmULVKsWvl0tf347cHzrVhs2Wby4Pd68OXz8MTz2mB2VENZmKSIi4om0501EJAla\nuRI++MDOxL5926bWh/H3t7bC556Djh3tjLTOnW1g4tSpNp0xUyaYMsXG8oe5a3jbu9fKXePH2wQQ\nN8qZ09ocf/0VGjWKfXZI9uw2yGT1aqhUKfJzbdta0TB//vDw1qEDXL9uc0kinesmIiLigVR5ExFJ\ngg4dsqrRyy/Drl2Rn5s40ULJoEEWSC5etHO0X3zRQtyKFRbuZsywYBQmMDCGafj791twGzPGEo6b\neXlZ9e2bb6BlS+eur17dQmrFipGf69LFHl+61I4hAMiWDd56ywKdiIiIp1N4ExFJgo4dg6JF7Yi1\nQ4ciP7d7NzRpAsWK2T6xihWtRfKdd2yy//r1NvijVCkb/hEmWuXt4EGb2T9qlB1unUiKFrVq4tNP\nO3f9Y4/Zfr8KFSI/Xq6cBUA/P+jRw/XrFBERSWwKbyIiSVBYeCtVCg4fjvk5gHTpLMQULmzT/V95\nxYZEliwJTz4Ja9aEvy5SeDt8OPyQtC5d3PEj3dX334O3t+3hc0adOvYzli0b/bkJE2y/nJvmrYiI\niLiVs+EtD3ASKBnl8TbAVmAj8LIL1yUi8kALC2gFCtgwj4AAe9zhsJH4YeENbO9X1ar2deXKVpnL\nkMHORgs7Ew0inPN25IiV7j77DJ5/3m0/093kyRO3sFW3rh0jkC5d9OfSprVWSRERkeTImfCWGvgW\nuBbD46OBZkAD4BUs5ImIyH1wOKB1a9u/FhbeUqSwMfhh1bdLl2zfV9i5Z2AtghMmhH8fNj4/angL\nDIQs/j4W3IYOhe7dE/xnSgiZMtnyRUREHjTOhLeRwATgbJTHywBHgSvAbWA9oBN0RETu09KlsGOH\ndTFmzhxeQapY0appEB7qIk5OTJ/exuRHVagQXLgA//5rI/JzXT1G1naNrWz10ksJ/wOJiIiIS8V2\nVEB3wB9YBvQHIg5azoIFtzABQFZXLk5E5EEyfrydkV2uHDz0UPjjVarA2rWwcKENJqlcOZYbBQfD\ntGmknDQJ3+BTBNUozFCfVBTDB68PB9jGOBEREfE4sYW3FwEH0BSoBEwFngTOY8Et4tDpzMClu91o\nyJAh/33dsGFDGjZseD/rFRFxueHDbcx+nkRs/L5yBdatg1mz7Gy3iKpWtdH/DRrA6NExV9kAOwDt\nt99semSaNDBkCCN/KMu5zb6cIZj0mVKx+HWdUi0iIuIOq1evZvXq1S69Z1yOLF0FvAp43/k+NbAf\nqInth9uIDTCJ2l4J4HA4HPFYpohIwggMtLBUqxZs3Jh46/jxR5gzBxYvjv5cQIAdxD1zJnTqdJcb\n7NplrZBp0sCbb9ro/xQpWLHChkpWq2bHCpw4kZA/hYiIiNyNl+15iEv+iiauRwV4AZ2Bntg+t3eB\nP7HgNpmYg5uISJJ16JDtKTt+3IYwJoaLF2HAAOjXL+bnM2eGkSPt7LZozp+3NsjHH4c+fSyBdu5s\nk06ARo2gRg3b5vbwwwn3M4iIiEjCi1fyiwNV3kQkSZo2Df7800bMV6pkRSt3++EHG1Yye3YcX7hv\nH7RpA+3aWfK7S9+nw2EDTkJD/8t0IiIi4maJUXkTEUlW9u+3w55btIBFi+DqVQgKcu8aNm2C+nGd\n1btkCTRuDJ9+Cl9+ec8Ne2GTKRXcREREPJv+Uy4iD7Sw8Na6tW0bq1MHunVz7xo2b4batZ282OGA\nsWPh5Zdh/nzo2jVB1yYiIiJJh8KbiDywbt2CDRssOKVPbxMn06eHrVutGuYOV6+Cr6/tu4vV1q2W\nMidNsr1tdeok+PpEREQk6VB4E5FkxeGwvV3OWLsWSpUKP1Pt009h5Upo2dKqYe7g7Q0lSkDq1Pe4\naP16aNYM2reHVq1g+3YoXNg9CxQREZEkQ+FNRJKVwYOhf//w78+ft+7CmCxZYoWsMGnS2GTHSpVg\n9+6EXWcYX18oUuQeF4waZWP/u3SBo0ehVy9Il849ixMREZEkReFNRJKN4GD4/ns76DpswO2CBdCx\nIxw8GP36rVtj7jx89FHb/+YO9wxvCxfCmDGwbZv1dKZJ455FiYiISJKk8CYiycZff0GhQlaYKlfO\nilR79kCOHPDdd5GvDQ216lqlStHvU768tTPeugVXrljBC+x7V1q61Kb9xxjeDh2yoSRz5kC+fK59\nYxEREfFIqRJ7ASIirjJnjlXZSpSA27fhww8tfD3xBJw9G/nao0chVy4LdlGlT2/VtxUrYMsWC377\n9kG1anacQNmy8V+rwwHdu4O/v3VFRnLhAjz9NAwbBjVrxv/NREREJFlQ5U1EkoWQEOsybNs2/Nzq\nNm1sz1vjxvDPP+HXnj8PX3wBlSvf/X7dusGUKTbAJEsWy1HHjsHcua5Zr58fnDtnFcBIlTd/f2jQ\nwIaTvPSSa95MREREkgWFNxFJFtavh/z5Iweh5s1tAEnVqhaUwCpo7dpBQAC89dbd7/fss7BmDfz9\nN3zwAcyYYRW5efOiXxsQYCP/42LzZhsc+cQTEdZ8+bI90Latjb4UERERiUDhTUSShXnzLJRF1KiR\nDSx56CELbyEhUKsW1KsHv/xiBa67yZ4dpk+H556z68+etft7H3ZECmqzZkHevPe+V0Rhg1Q2brT7\nLl1qoZCrV+2Mgrp14f/+L04/u4iIiDwYvNz0Pg5H2J9YRERczOGwY89+/92GjUQVGgpp08Lhw5aN\nzpxx4qahoTaicv16HBs28Ncsf2pl2EP6gPMEFS5NxpYNoFs3arbMydi+J/ji81Dm/dsAUqa86y19\nfW265dy5Nvl/wQLbW/ffxrxq1WDcOPBy1/81i4iIiLt42X/f4/UfeQ0sERGP5+NjVbVy5WJ+PkUK\nG06yZQsULRrLzYKDrWVxwgTruaxbF6969dh08CEy9CnLL+vzUzvLfjpn+4PQzl2ZffEWBRcVYNDV\n6ziKXsDrhRdss121avbGEezeDRkyWDtnvnxQsSK2Ge+pp2wwyZgxCm4iIiJyVwpvIuLx1q2zFsR7\n5Z68eW2f2T3D28WLttktZUrYsAGKF//vqUEv2/0P3oLFq6ry7Iiq7G71Ed26wZ710CY/7JjwN3nX\nzLYxkleu2GnhbdvaZjyskNeuHRR/5CZ5/tmDV89J1u/55pt2uriCm4iIiNyDwpuIeLSBA+Hnn+G9\n9+59Xd68sGkTtGhxlwsOH7Yn27e30ZJR2h/DclXDhjBgALzxhu2pC8t3Dz0EJ/NUJe/wqjB8uB2s\nPXIkfPyx9Wzmz0/r0zkoEnSITIH/QLFi1ju5axcUKBCv34GIiIg8GBTeRMSjzZkDadLA44/f+7oC\nBWzsf+/eMTx5+jQ0aQJDh8Y6nr94cZtC2aqV3TMsvOXNG/k4AqpXh9mzISSEFdPPsHHOGXxPXqT3\nNyWp2qFotJZKERERkdjoTw8i4rECAuDUKdi7N1KHY4wGDYJs2aBMmShPBAdD587w2mtOn6tWqhRc\numSdlSVK2GNhEy2DgqwDMuxQ8MsBKen0fgGulK7JVP+WFG5aXMFNRERE7ov+BCEiHmv3bpsumcqJ\nHoJCheDECahRI8oTQ4ZYW2P//k6/b4oUNl9kxQprowQLb9Om2RCSH3+Et9+2x0eNgieftM++vpAz\np9NvIyIiIhKJ2iZFxGPt2AGVKzt/ffr0UR6YPNlO3968+Z4j/mPSvTt07Rq58rZ2LSxcCI0b2zTJ\nQ4dsaOWOHXZNwYJxegsRERGRSHTOm4h4rAYN4K23oh/OHavQUOtt/Okn+OMPKF063mvZssXObxsx\nwr5v1MhOGsieHaZOjfftRURExMPpnDcReWDt22ej91u3juMLr12Dbt1susiWLZAnj0vWU7OmfYSp\nVs1aJWfNcsntRURERLTnTUQ8w8yZMHq0fX3qFNSvD599ZpMmnXb6tL0wY0bbsOai4BaTqlXtc+PG\nCfYWIiIi8oBR5U1EPMLs2bBsGeTObWP5q1SBnj2dfPGlS/DllzBxIvTtC/36JfiB2PXqwXPPJWg+\nFBERkQeMwpuIeIQdO2yKY58+NhjykUecfOHt29CmDRQubINJYjtTwEXy54fp093yViIiIvKAUNuk\niCRZoaEW1Nq3hytX7HPJkrBokYUjp7z/vk0NmTbNbcFNREREJCEovIlIknXkiFWvTpyASpXsfLVS\npexwbKfC23ffweLFFtx0MLaIiIh4OLVNikiStXUr1K1rg0lOnrTHSpaEoCAn2ia3bYOPPrKklz17\ngq9VREREJKEpvIlIkrV1K1SvDsWK2QdY5Q1iqbzduAEvvADjxqlVUkRERJIN9RGJSJK1ZQvUqBH5\nsZIl7fM9w9uAAfDoo9CxY4KtTURERMTdVHkTkSTp33/h0CE77DqiYsWgVq17jOBfu9bOFdizJ8HX\nKCIiIuJOCm8ikuQ4HPDHH9CoEaRPH/m5NGlg06a7vDAkBN58E8aMgZw5E3ydIiIiIu6ktkkRSXJ6\n9YLu3e14tjiZMgUyZoRnnkmIZYmIiIgkKi83vY/D4XC46a1ExNMcOmRnaKdLB/v2Qb16sGQJVK1q\nlTan+PtD+fLw5592roCIiIhIEuLl5QXxzF+qvIlIonI4oFUr+P13y12PPQbvvQe1a8chuAF88AF0\n7argJiIiIsmW9ryJSKLavRuOHQNvb6u6DRtmbZNxsmYN/PUXHDiQIGsUERERSQpUeRORRLVgAeTN\nC7t2WfWtQ4c43uDWLXj9dRtSkjlzgqxRREREJClQeBORRLV/P7RtayGuYkXInTuONxg1ys4PaNs2\nQdYnIiIiklQovIlIojp+HB5/HIKC4Ikn4vjiY8dg9GgYNw683DV/SURERCRxKLyJSKLy84OaNSFL\nFgtxTgsOtvME+vWzUZUiIiIiyZyOChARl3I44Pp1O24tNtevQ44c9tnbG0qVikMBbeBA2L7dTvNO\nob+HEhERkaRNRwWISJKzYIGd0xYSYkHuXk6cgIIFLXuVLh2H4LZsGUydCtOnK7iJiIjIA0N/6hER\nl1q/HnbuhHLl4N13733t8eP30fG4axe88ALMmAF58tznKkVEREQ8j9omRcSl6teH9OkhbVo7ty1X\nLpg1ywZChgkOhilT7Hi2HDlg7Fgnb37qFFStagNKOnZMkPWLiIiIJARXtE0qvImIywQHQ7ZslrGy\nZoWbN2HCBCuS7dgRft2CBXYQd716MGmSDSuJVUgINGsGjRvDRx8l2M8gIiIikhAU3kQkSVm50lol\nd+0Kfyw01AKdry/kzGmPtW5th3F36xaHm48aBQsXwqpVkDKlS9ctIiIiktA0sEREkoTJk2HzZhg/\nHl57LfJzKVJA5cq2Dw7gwgVYt87Cm9O8veGLL2xIiYKbiIiIPKAU3kQk3ubMgZEjrfL23HPRn69a\nNbxtcuFC637MkMHJm4eGwksvweDBUKSIy9YsIiIi4mkU3kQk3s6cgd9+gxYtIFOm6M9XqQJbt9rX\nv/4K7drF4ebff2/73Xr3dslaRURERDyV9ryJSLzlymUFssmToW3b6M9fuGBHB4wZA2++CX5+NpEy\nVv7+9sK//oKKFV2+bhERERF3ccWet1SuWYqIPKiCguDqVTh58u7HruXKZcHt5ZdtoIlTwQ2gXz/o\n2lXBTURERARV3kQknnx9oWFDq6bF5vp1SJMGUjnz10ZLlsDrr8PevU6eJSAiIiKSdKnyJiKJ7swZ\nyJfPuWudHlJy4QL07GkHxCm4iYiIiADuHFgSGOi2txIR9zl9GvLnd/FNe/eGZ5+FRo1cfGMRERER\nz+W+8HbihNveSkTc5/Rp5ytvTvn1V9i9Gz77zIU3FREREfF8Cm8iEi9Hj0KxYi662fnz0KcP/Phj\nHKaaiIiIiDwYFN5EJF4OH4ZSpVxwI4cDevWC7t2hVi0X3FBEREQkeXHfwBKFN5FkyWXhbfp0OHTI\nhpSIiIiISDTuC2/OzBEXEY9x6xb88IMNhixYMJ43O3oU3nsPVqyAdOlcsj4RERGR5MZ9bZM+Pm57\nKxFJeEeP2jFsxYpBypTxuJHDYa2SgwbpMG4RERGRe3AmvKUEfgDWA+uAclGefwfYB6y681Eyxrsc\nPOqtr98AACAASURBVAj//HPfCxWRpCU42D4//3w8b/TLL3DjBrzxRrzXJCIiIpKcORPeWgOhQF3g\nIyDq/O4qwPNAozsf3jHdJKRlG5sgJyLJwq1bULUq9OsXj5vcuAEffgijR0MK9zUCiIiIiHgiZ/60\ntAB49c7XhYFLUZ6vCgzAqnIf3u0ml158FyZO1NlNIslEUBCkSRPPm3z6qSXABg1csiYRERGR5MzZ\nv+oOAX4ExgIzozw3Cwt3jbHqXKuYbuCfvxIXF28idMxY2LPn/lYL7NwJgYEwZcp930JEXODWLUib\nNh43WLvWJp58843L1iQiIiKSnMVl2mR3oB+wBSgD3Ljz+Bjg6p2vfwcq3/kcyciRQ9i1Cx5NW4Ju\nI0fScPr0+1pw27bQuTN8+SV06qRzfEUSy61b8ai8Xb5sm+W+/x7y5nXpukRERESSgtWrV7N69WqX\n3tPLiWueBx4BhgFZgF1AWeAmkBXYc+f768BsYDKwNMo9HIsWORg0CFpmWM1nt96HbdvivNiAAMiS\nBfLkgfPnYc0aqF8/zrcRERdYtAgmTbLPceJw2N/A5MoF48cnyNpEREREkhovLy9wLn/dlTNtk3OA\nSsAaLJS9BbQFegJXsH1uq4C12NTJqMENsEGT+/bB7FN1wNvb0lccHTxon8+ft7+s37AhzrcQDxIa\nCpUqwZUrib0Sicl9V96mT4e9e2HkSJevSURERCQ5c6Zt8gbw7D2en3Xn457WroVSpeD48TTcbtiY\n1MuXQ9euzq4TgP374bHHLLS9+mrM4W35crh40VoqxbN5e8Pu3eDrayFOkpb7Gliyf3/4YdzqeRYR\nERGJE7fN5l6xAqpXh/Llwa9Mc1gaY4EuRocPw3ff2Z/7WrWCt96Cl1+GjRutOhPG4YB337X9cOL5\ntmyxzydOJO46JGZxrrxdvQrt2sGoUTqMW0REROQ+uC28nTljE8EfeQS8i94Jb4GBTr12+HB47TWY\nOhVatICvv4YCBSB79vBWSoDZs+3zkSP31ZUpbrZuHQwadPfnt2yxaYZ+fu5bkzgvztMme/WChg2h\nW7eEWpKIiIhIsubWU3GrVIFs2eBM6kKWwj76KNbXBATAvHl2vve330Zun6tbN7x10tcX+vSxyeON\nG8OSJQnzM4jrfPSR/TN1OKI/FxpqLbBt2qjyllTFqfI2e7YNKfrqqwRdk4iIiEhy5rbwliIFPPoo\nZM1qU8L58ktLZJeinvkd2e7dULq0TRVv1y7yc+3bw4gRdr8uXaB/f2vN7NLFqnSSdO3bB8eO2ban\nw4ejP798OWTKZEdDLF1qexwjtshK4nM6vPn729+sTJ8OGTIk+LpEREREkiu3hbeyZSFjRqu8Xb4M\n5M4NTzwBP/98z9f5+EDx4jE/16YNNGoETZrAjRvw9tv2+JNP2v64jRtd+zOI6/z5J7RubUc9rFsX\n+bmgIBgwwPYvFipkQe/nn+F//0uctUrMnA5vw4fb37TUqJHgaxIRERFJztwW3pYvt8//hTeAHj1g\n8uR7vu7oUShW7O7PDx9ue6L69gUvL+DUKdKM+JSdZbpwpeFT7Kj8ko2flCRl2TJ4/HGoVy9yeDt9\n2iaKFi0Kzz1nn7Nls32Of/2VeOuV6JyaNunvb73MAwe6ZU0iIiIiyZnbwttDD9nnSOGtaVObLLJ7\n911f5+Nz7/CWIwcc3niRro4ZVoqrWBHOniV/z5ZUHf8im/Zlhlq1rHwjSUJoKKxfb1XTqOFtyRIo\nUgR++cXC+MMPw6lT1g4bU3ulJB6nBpaMHw8dOkC+fG5Zk4iIiEhy5taBJRAlvKVMaZPn7rFB7a7h\nzd/fRhWWLEnOKoXw+nW2tWadPGn9dc89R+6eT/OO19fcfn+ATTF55hnYvDlBfi5x3j//2H62bNls\nP2NgoAU0h8PObq5d2/ZIhsmY0Vpnjx+H27cTbdkSRaxtk9euwYQJdq6biIiIiMRbooS3K1ciPNC5\ns5VZ7jKNIsbwdvSonTvg7w8zZ9pIyoULLQhmzPjfZV5ekDMnnG/1oo2jbNjQ3q9BA/jjD7h+3eU/\nn8TOz8/2soH9M6pf3wo0JUtae22FCtFfky6dFW98fd27Vrm7WMPblCk2ErZkSbetSURERCQ5c3t4\n+2/aZJiyZSFXLli5Mtq1167ZR548ER48eRJatrTRkhMnQrVqdza7xSxnzjtb3jJmtIl3R47YXrtP\nPrFevAsXXPaziXOOHw8PbwBDh8LYsRbqDx2KObwBlCoF3t5uWaL8f3v3HR51mXZx/CQQQu+ICAEB\naUoTRFRcRRHEXUGxK2J7VRQbKLIUV1FRwbWvBRYLomBXimUVqQI2sCC9SagKCAJCEEnm/eMkpCcT\nksxkku/nurhIZiYzT+AHzOF+nvsOQo7hLRDwHIjbbw/pmgAAAIqzsG2b/P13TwqQ5G1V996baeDX\npk1S3bppstnvv7t61revdPPNQb3eofCWonRpV+i+/NJtKocMyed3hLyKj5eOPjr185YtvV1yyhRX\n12rXzvrrmjRx9kbRkGPDku+/937Y004L6ZoAAACKs7CFt6++kkaMSL6xd2+/0Zs0Kd1jN250eJPk\n/+bv3dvDvfNwhiZTeEv266/Sikv+Jb37rj9BSDz7rPTee+krb5K3xp50kpuSZFdIjYvzNYGiIceG\nJePHezhjdMj/igEAACi2Qv7OqmJFHzVbtcqNKyS5ccmoUdLgwQ5xyVIqb0pKkq66SoqJkZ54Ik+v\nlxLe1q1zxSfFf/8rjRhTS7rsMun55/P9fSF3gYCHqi9YkDm8pahYMfuvj4vzrllJSkws+PUhb7Ld\nNvnXX9Ibb/jPLAAAAApMyMNbdLTPvf3wg8+z7dmTfEf37u4bf+GFfleoNOFt2DC/a3/zzSCnAqdK\nCW9Dh0otWni+mOQAsWOHpAED3BEvIaHAvkdkLaXV/+WXS23b5uEL//xTGjZMF95US49PbaI9Xc7X\npIpXav+Ntzl4r1176KEbNmQe+l1UjR4tLV0a7lUcvmzD2yefeI/rMceEfE0AAADFWVj2NNWunfoG\n+1D1LSrK72bLl5d69ZK2bdOmTdLZ68d6a+PkyW45mEc1argnyU8/SQ8/7J2XfftK336bHN6aNpWO\nP94HrlCopk3zYO6JE11FC8r337spzdKl2vrhN7qu8nuaUPpq/U/dNXdzY+m776QTT3QH0Suv1Ppz\n+2lpz8EKTJpc5Mtz48dLEyaEexWHL9vwNn68z5UCAACgQIUlvHXu7G2TZcumCW+Sm4m8+aY7WLRp\no0s/uEydpt3nyc01ax7Wa9Ws6ddYvdqh7fPP3dFwy5bk8CY50UXyu+gIsXChz7UF7ZtvnPb++U/p\n/fd1RMeGmr2ztQZ/3UuXf3Slen/bXyOPeVGKj1fi4GGaXb67pm1pqa37K2vPsEcczJ9+Wtq9O9NT\nz54tDRxYcN/b4Vi/PrUSHImyDG87dvgP2SWXhGVNAAAAxVlYwlu3bv65QweHqHRiY33+bcoUzY3p\nrJ9e+9FbsA5TjRrSvHk+Y1WunNSmjTR2rI/XHQpvvXr53XxWnU2QrcTEvHV/XLQo+zEAmSxYIJ13\nnvTSS9KVV0pRUYqJcRg/8UTPXP/hB+nxx6XFP1fQ/Ird1HnslRpTqp8ODByqR3t9Jb3+ujR/vtSw\noXTrrdJHH3lfZSCgefOkl1+WDh48rG893w4elLZu9eiDSL3s/vwzi4Ylb77pLdBVqoRlTQAAAMVZ\nWMLbmWf6DXjr1hkqb2kE2p+gR3fdpAYn1MrXax1/vBukpA0NTZt6zNvOncmzwStV8hvOd9/N12sV\nR3v2ZJrgIMm/bh9/LJ1/fvDPs3y5dNxxQTx4xgzP8hszRurZM91dcXHSxRf74zp1XE2dMMG7agcN\nkmbO9OjAlSslnXyyB8B//7336j7zjC+8mjV16RMdNXfnsVpds6O2t+8m/fvfWfxPQvACAc+MD9bm\nzZ5feMopkXNGL6MsK2+vvsqWSQAAgEISlvBWpYr09dd+851dePvlFzehTDeg+zDExXn33QMPpL89\nJsbH6w41TOnd24exkE63btKnn6a/7ZNPnIWeeMJdPLMKd2ktW+bfx7p1c+4mKUn64AN3AH377UzB\nTfJswLRNDDt29LG3yZOlSy+Vmjd3OE9XEaxfX/rXv3Rg6qdK2rRFWrxYj9R6Qk93ekePHPmMhm25\nTYlLljn19eol/fhjLovM7NVXfewuWPHxvjZPO02aMyfPL1ckZApvy5e7stm1a9jWBAAAUJyFdQhT\nnTruKJmVxYt99C27mV950bChO01mVL16mq2T3br5TTsz3w7ZtcvB97vvvOVxxAhPcrjmGumss6RZ\ns1zV3LHD89u++Sbr51m50qHtnHNyeLEDB1w669fP6bBz5ywf1qJF+q167dp5HX/+6SqrlDrMO2Oo\n7NHD18J3W+ro7U2d9PDk4/Tq8o5a1KCHZvR+2UPkOnd2Ffbii9PPlsjFiy86u6xbl/tj33lHuuAC\nZ8piFd7Gj/d/gpQuHbY1AQAAFGdhDW+tWvncUka//y7NnRvkFrt8SBfeypZ1upg8uXBfNILMmePw\nvHCh35OPGuWpCp07O6z17OmAHR/vjv033ujOnhmtW+eq2DPPZPNC27c7PC9b5gDdvn3QazzqKA9+\n79kzNehXruywuHmzt3du3+4fX30lPfigXyo21uchJX8/8+dLqlBBuuMOd7dp3dpdLl95JdvS4h9/\neKTZli1u+X/xxZmrlFmZNs3riYvzSyxf7qAcadKFt8RE6bXX2DIJAABQiMIa3lq3doVk7970t990\nk7c5hjS8SX73TdfJQ2bPdoVo8mRvdY2Lkx55xL8/NWr49oYNPb/t55+duZo3d6BJKz5eOvrobF5k\n1Sq3oOzYUZo0Kc/7ZKOivMbevdPf3rSp9OGHrra1bevdmN26ecvlp5+mn8t+yiluanNIhQrSv/4l\nTZ/ubpXnn5+pIhsIOOuPHOmqZNu2LtjNmpX7mr/6yo1WrrjCIbJDh+TwGGHShbeZM6VatZzmAQAA\nUCjCGt5iYx3Qvv/en2/ZIl10kdunT5/uN7eFKWWA9yE9eniP37JlhfvCEeKHHxyKoqK8m7FTJ++I\nO+201Mc0aOAw1LixG0NWruwgl9a6dX5cJvv3O3n17++yXqlSh7XOF15wb5K07r/fuzBbtHDwHDZM\n6tPH97Vvn9r0RHJ4+/JLF47Sad3ae0FbtJCaNZOuvfbQvshPP5WWLJHef99bfFu1kjo036Mt32zI\nsYXlnj3SmjVuftmunaStW3V1ven64I5Z6tf+a614Z5EOLFmlZ/+5QYm7/jisX49QSddtktluAAAA\nhS7sh1M6dPDA7IoV/SZ42TI3/jvzzMJ/7erVM4S3mBjphhvciWPs2MJfQBG3eLGDziuvSBde6BBU\nv376jNWggXPXWWf582bNUqtaTz3ln7OtvA0e7GB0yy0FvvYzzvDWxJgYX1sTJ0rnnpv1Y2vU8Dm0\n3r3ddKR+/TR3linj8trgwb4u2reXevXSvpUtNbXtb1r95TZVeTxafWIXqtbLS/XmHxWVVGarEstX\nUszFvRz4TjpJKlNGSUnON2efLZVJ2CXdNkh6+22dV7+1Gq+WGtTerwPXJGh3bILO35mgwDO/Sycc\n74VfconLnEXIocrbnj3S1KkuJwIAAKDQhLXyJrlisWSJG9Q99JCbYfzf/4XmtatUyWJ+c//+3mO3\nZk1oFlFEbdvmwljduh6zFhsr/eMf3k2Y1jnnuPFMSqfFZs2k0aNdDUvZkrpuXRbh7dNPXbYaPbpg\nutJkISbGP991l7dQRudwtXfv7i2V2eaPqlW9l3f5cqlZMyWtXqM69WNU44zWmrmlmbYNHKWobdt0\nbvstqhDzl7ocuVSJzVr4DF2NGlLXrvrt/wbpvOm36d3d3aR69fy8P/+sqj/MVoN1s1V349fqXmeR\nOtVapacHbtQtl2x3yTA+3iMO+vTxZO8w2LNHeu+99LcdCm/vvedybK38jfUAAABAzsIe3lq08Dmh\n7dv9vvjEE0P32hUrphkVkKJ6dQ8PSykblVApWwFzy1XHHeczXzfd5M+bNfN2uqZNpTfecNMQycO1\nD9mwQbruOvf9r169MJafTqVKXk9uBg3yHO+aNXOYGlGrlhLvvFvX7vmPqj91r7p+0E/7b7xDR1/T\nWSpbVp06SYMGR2tbzFH6qfsg7wlev1667Tat3VFVZZo3VvRtt/gXZswYqWpVRUWlVjQ/+8xjNPr3\nl96ZWlb7O3d3KXPtWlfe2rf3fy6E2JNPeoJDSqU6ISFNeBs/Pv38BgAAABSKIhHe1qzxm+uyZZPP\nAYVIpUpZhDfJ2/gmTHDbyxJqwgT3EMmrZs1cpBo1ytls3jyfKTsUAnftcglvwIDQ7I3Ngzp1vIW3\nXz+HqOysWOE5d1WruiI5Zox7nEjSY49Jw4dLbdo4AEuSqlWTevbUfyoN1b4b+0vnneeLLwuNGvl5\n69Z1E5QHHkg+E1qpkj/55BNX80K4RXHoUIe3Dh1S59hPnOhqeZkt8U7v2e1JBQAAQIEJe3g74gi/\nt+3WzQWZbN7TFopsw9tRR0l//7uHd5VA48Z5VMN99+X9azt18vmxs892A5rRo32bJLehvPhi6W9/\n817GIqhaNR8vmzs3/e1vvJE6x27hwuynGcTEOKi2aiX99JO7Um7Y4K2nU6dmO74uS1df7WN2w4al\nufGEE9xd5bnnpDvvLPQZAz/+6AHkCxZI99zjIuDkyd4+27+/3OXl0kvTD98DAABAoQh7eIuKcvWt\nVasMW+tCoFIlz+rKUv/+0n/+k7nvfTG3e7eLYu+/f3hBOjbWzUtKlXL1bfZsZzX98YeDW2ys2+8X\n0jm3gnDssdLOnW48mmLMGOclyUPLcxtF17Klw9uwYb62q1f3VITGjYNfx1VXeYj9vHkZRlrUresA\nt3u3//BMnx78kwYpMdEjDQYMcCG6cWOfb6xQQbr+eme2rmcF6DIJAAAQQmEPb5J3gF14YehfN9vK\nm+QKR7NmbrVYgmza5C2Bxx6b/+fq3dvNSk6J2+AEV726992VDnuT0xxFR3vUQMeOLioFAq5Affih\ns3xOlbcULVs6uL7yikPgM8/keYSdoqLc6+Tvf3cjn3TzEGvXdmV4wgSX9Qr4jOYDD0iXX+4RDHfe\nmbqeiRM9k65LFzndlSrl/ZQAAAAodKEqfwQCgUCIXip48+ZJd9+dw4Dkb76RevVyCSUEjTWKgjlz\nXC364ot8PtHWrT6fNXOm9PHH7gZy111FuuKW0a+/OoRNnux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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872d994e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "expwighted_avg = pd.ewma(ts_log, halflife=12)\n",
    "plt.plot(ts_log)\n",
    "plt.plot(expwighted_avg, color='red')\n",
    "# expwighted_avg.plot(style='k--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6FSIiIkcJhyM0/ypo2LBh9O3bl4SEBHr06EFERARvv/02AE888QS7d+9mxYoVLF++nMLC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elPikQiPH/+HPXrt4CtbSDU1PIRF8dDKAA4OAjxjWtjzCrl1L16laN5ZeDvD/z1F8LDw6GioiKN\nOBcXFyMtLQ2rV6/GqlWrcOfOHcycORNdunRBkyZNKpVyBwRchpWVqyKBnzQJ2V27Yk1ICMzMzPDo\n0SNkZzPJ2bYtDDo6OvBp1gxtNTXhRjXwo5YWRKXDpGIIhYCBQQLq1o3BwYNCJCfnQFPTA0ZG27B6\nNdchMDcugrB1WySrWiB78hysGPUE8XVaAX5+iNi4ESYmJmUiv/Hx8RAIBHgpNipOn74LMzMz7Nmz\nBwDLInfv3g03Nzd4eHhIC5Hcv8+S36Ii7rNFRZwrWL++zMx48oTHwthYYHxTLyypIMkyPT0dERER\nSEtLQ7NmzTBjxgwIhUKsXbtWIS+tqsjNzUXPnj3RsmVLaGtb4MSJMwCANWtyUF1NB9mamlWyGS9e\n5JoIsbGxCooepKcjXdcImup6uHgxGRYW11Hf1pZltIWF2LtXlsMHcFRWUrxn6+bNCNDUxDdNm0Jb\nWxs1atQoNxXh7du3iI6ORmRkJAQCAWbPno0NGzYgIiIChoaG0vemDP36hUFNzRXv3pWA6AGaNduH\nwsJCtGzJtmP+heuAhQWuOg7ExdpBaOeiWF42JoY5n7c3pA7D169fQ0dHp9L85q1bt8LIyAijRk1D\nzZpyEf64OMDKSmkxRKEQMKGXyFPXQx2rUuf/7TcIO3fGnj174OTkhNBQIb79tqhKlXP/DdD/IqHL\nyhJXrpHHlStlsquXLmW5sTy6dWOPHgC2tkvJQv4tKCuj/Py52Gk9eDCwahWGDVM0+EfXPoxsr29Q\nGQ4dOoRq1dyVcoD584EndTtwouGjR4CGBvSq53Hi6fjxXDn0K4ckYlvGGSfR3YqldiKRSKFASHkw\nNq48aVseRUVFWLBgAdTV1TF48GCMG8fG/evX7GVMSeFlJirjYF27yooNAPx3185CriAzcqTMSxkc\nXHkSzAfi7t276N27t3TAy8nJQWBgIIyMjGBmZgMzsyAmBUIhu+xKCeh3794NIpLmz3xqiEQinDt3\nDvPmzcOff/6Jy5cvY/jw4TAxMcGxY8c+ugrj+8Dfn29fkmthbCyuvP/sGTM88GsKCJArMlQBTEy4\nuhiRHNFZsKBqWsgPQO/esqKEM2dWrat37twZ2traMDY2xrJlyxAWFiatsunv768ga60MfftyIFOq\noPD0rLiiSDl49oyf2acoRLh1a6mCIUIhu6jFOYwZGRnw8PCApqYm7OzsYGRkJM0ZdHd3h46ODoyM\njKCjo4OmTZuiWbNm2L59O/744w8MGDAAffv2hbZ2TUybxkSwdWsuPf+psHHjRri4uHx0AQ9j41ZQ\nVe2L1atDpDm3kyZNgqmpKbp3746pU6ciKioK/fsXoHbtV/Dx2QE9PV+YmbVAzZrrUDxmTBltU926\nZY2xvA1hiFFx4I4SHc1WvEBQppKHjY2NomEshzFjHsDAoA5atJCmlgHgdmVnVwwVlV6oXt0DXbp0\ngbr6fEyc+BPU1bujhYEhCktVjUxL435cxmbfswfw9QXAUv/Tp0/Dy8sLLi4uMDQ0xKBBgzBs2DDY\n2tqiefMB2LJlF4KDg9G5c2eEhYWhUaNG8PT0xI0bN1BUVISUlBSIRCLUqTMVvXvLjZUvX3LlKbHB\nvWLFCnQQh0C0tJJgbCyQygjjH7xDJ7PrcvkRyrF+Pc+PEn/k+vX7oK4eIF1+pkULdkypqfF9L18O\nfDfyLX7v1g1mqqq4rERaCXBV5caNGyMhIQF6eh4YO7bsUhoikQhz5sxBo0aNIBQKceaM9DGiZs18\nPHjwFubml2BklIzTp3n7/v3ACL9o4PhxNFVTw4Uq5IQBnFrg5eWFJk2awM7Oroya5n2xceNGtGzZ\nEv+PvfMOb6p64/g36U6b7gWFtpS9ZO8hCgjIEkFAloI4UH8IiiBDBVRwo+JEEVEEJyAggoAWBESm\nsvdoKZTSlu5Je35/vLnJvclNm7Zp0/F+nqdPm9Hk3OTec873nQkJCeLZZ9eJkJDeFFagljRmxtdf\nU+S9BbNmCfHkk+Kpp54STz89XTg5vS2mTJlChto5c8R771E+trRt6djR1M0lbtMm0dXDQyyYP18k\nJiaKLIvypeocOnRIzJw5U0yaNEl0795dLDCU+LfG778XCp2um5g4caLQaoNESEgbMXbsWPHAA6ki\nNFSIDh2eEIH+/kKndRM+Lh7iNY2/+GzRIrFv3z8iOztbrF5Ne5nHHhPigw9ui/Hjxwt/f3+bCqUJ\nQfupc+dovjCycaMQ/fqptitLSTFUFnZpJqZ0kPVUysmhRfXECVFYWCg6deokmjfvLjw86oshQ4aU\nS5GjsoKaKOhUnHGqsRLnz5ss0BLTpgnx1luGG6NHF5nrUpEsWWLpCo6PF6J2UB6pgosXxbhxsrK1\nQoh+bW6IfC8fFSVjiV4vVPM+vnw1TmS6+ZpCXZo0ES1xVNzOLyTvlo29zByNu7tqtA6Z/mwIwZPj\n6ipKVdr20KFD4tatW6J7d5pgTpwwjSsy0qwVhBmFhTRUuSF0504h3o1aSqWk5JatP/+kmKhyJinJ\nZDWNjY0VixcfE6NHG861XbtMZkQZubm5AoDdQr9sZebMmSIwMLDC31cIqlkCkEXy22+FMbM862ys\nCAigPYB5BTY13NyoR5ui7P3IkYba0fZn8mSTM2T2bLMeR1ZISkoS8fHxCo/Cv//+q9pLqDhmzhTG\nEFMhBLmrvviixK9z+DC9TimGoODIEcr9UOSE/PILJYqZ9XtMMUymhYWF4vLly2LHjh3G3C0hSPht\n3LhRrFq1SjzwwANizJgx4pNPPhHLly8XM2eeFzNmkL2pRQtjSzC70bRpU7Fv3z6rj589e1a8//77\n4pVXXhFvvvmm2LZtm/jggw/EjBkzxKxZs8SMGTOEu3uoiIy09EQcPnxYfP/992LmzJmiXr16wtXV\nRwB+4q677hMdOy4TERH5IiBAUOxYkybGzy0zU8pfV75eQe8+YpjWrBzeBx+QZUNG//79VXO2hBCi\ne/clomvXR8XAgab1vrCQ5tx584QIDy8QPeu+K1YGBYnezvXEE4++III1U0VmcLBFKF9hIW2mg4JM\npfvj44W4eS2PjDSyMvEFBQVi3bp14uDBGCnVTQhB3qVdu8gY9uKLL4rhw4eL77//XqxevVr4+voK\nnU4nfHx8xMSJE4W7ewOxbJnsu1qyRFEcKDs7W4SFhYm///5beHtPE5MmPSsOHiRN8ccfRbd8kCMP\nRsjKyhK+vr5Gr9vbb9Nb6vXkoZow4SPh7d1E9O3bVxx86CFTMzgzCgoKxMKFC0VERIRwcQkVc+eq\nu8gLCwtFx44dxZo1a8SaNULce+8FMXr0aKHRuAoPDy+h0bQQHh6+QqerL/r27i1W3b1YpOuCxNkG\nDYS/p2eJjEQFBQXi22+/FT/++GOpqz1K5OTkiMcff1x4eXkJFxc30azZexQLaYNQXLjQrC2GEBTW\n4e8vxOXL4saNGyIoKEg4OTUXn366hk6y8HCx5t6vxeLFFJDz5pv0nRjr8CxaVKJ6BqUlP1+In346\nJp5++mnRvPnf4v33M8SYMWOEu7ufAKYLNzd/ceXKFdGhQ6J4++3toinuEBNdXES41kt4uOtEo0aT\nRER4BzHCN1x8oo8QHVq0EHFxcSWqZn7qlFnRvDffFGL6dGMrJzmSQe8jTBGb7nrb9MCGDQqPTlJS\nknj//d9Eo0b7y3xulBdwoKDTAvgUwF4AfwKob/b4YAD7DY9PtvIapTro8+ctEy7F66/blLciq5NB\npig75vqUhUWLyHgjJylJiAm6H42z9ogRMu+iIA9BVmikTTsZYxilGYdGvyn+jDIlehcOHiKG4yda\nAUJCKmXzRTX8/RXVnE2MGGEM0LdlPpGqTJW2ZV1hIU3CrVpReILUz0nNsiRn+3aawORjPPvrWZHk\nFGjZ1KqggMpOFbFpswfNm8uMH4L2WU89ZbgxdqzVUn9z585VFMaoCLKzs8X69etFTEm6C9uJ++6j\nc2bcOFlI9KBB4q9pP4l+/SjUrLjiEnl5lLMkNZc3Gl8bN7Ys32Ynpk+n73f7dvIUvf56ubyNVX7+\nmY7V6Gx+443iS22qIFVbU0khKhGvvELeVOPmt7CQFJ580rUDUql6qdCAlUjuUjNv3jwxffp01cfi\n4+NFaGioePzxx8XcuXPFtGnTRI8ePcSoUaPEG2+8IRYtWiQWLlwo7r13h01iYcaMGyIiIl4UFpJR\nwFg8IaeQlI0hFPDwYZXedzk5Qnh5CX/tLWU+fHY2JVjJKrdMmzZNdOnSRWzbts1iMxYS0lc888wP\nYswYk+1D6v0lhBBjR+aJq16NhPj8c7Fff5c4M/kNsdepm6xvgZKmTZVe8ueeM5SdnzvXoqrL7dt0\nmDqdqZCOTme9bevt27dFamqqSE1NFQ0bNhS+vlPEsWMGI5lk1ZNcMgZWr14tIiIihJOTr1i/PlY8\n+ijt61essEzTsJWffvpJ1KlTR4waNUqsWpUmwsI+F25u3UVwcLDo0mWYaNPGILKzssiwa2XxKiws\nFD179hR+flPFsGHkbVbbMkRHR4tatWqJmTP/FTpdiFiwYIEYOjRdvPsu6eT4r1aLxc4jxRz/AKGD\nk/DW+QgfHx+x2LxbuAMoKCgQa9bEil698ijR2IZeohMnWrQMJGufLOFs165dwtPzHrFrl2ECOH5c\n3NTVFRc7jRJ/fHtNuLiY1VXo3ZtESgXy1Vem/OT5868IoKdo1ux5cfgwRY8ZitqK6K05Yh4WivMe\nfmKgxwCxqmFLUdfFXXg46cRvwcElDqU/dszMXvzww0IsW2bM2ZXz33+0do7Ed+Jau0GmByZMoE2L\njMuXFVk4lQ7YQdA5l/L/7gPgCqArgE4A3jHcBwAuAN4F0B5AFoA9ADYASCjTSA1kZwMeHmZ3XrkC\nNG1a7P82aQL89JPhRseOwJo19hhSmXjpJeCVV4D585X3u7gAE3KWAVOmAABycgB3d9PjOh2Q3KAj\nwvbvBxo3LvI9CgoAJyezOwsL0Tj6U7wU9S16Sc9r2BhNtWeAv7KBHj0AjaYsh1ZheHjQeWFBkybA\nqVMAgHr1gP/+A/z8rL9Oejr9vnGjdOPIzgby84EWLehtfXzoI/T1BVJSrP/fd9/R1yz/jup+Mgev\nu83E/EaNlE/WaoFZs4CFC4Fffy3dQIshIYEuqddeA554AvDyApKTAX9/AElJwKZNwAcfqP7vq6++\nWi5jKgp3d3cMHTq0wt8XMJ1PdevKvuNOneC6bR9adBiO2Fi6dosiPR3Q6+ky/uknw/yWlUVfQpMm\n5TJuvZ7ed/VqYNs2oF+/cnkbq9x/P815GRmGO1q0ALZvL/HrJCXR78TEso3n1i36DCIiDHf89Red\n9PffX7YXNkOvB9LS6DIeOBAICrLry2PChAm466678Omnn2L48OEYP348YmJiEBMTg9WrV+Pxxx/H\nfPPFxoxnnwWuXy/+vXr2DEZ4OM1xxs8NwI0EDeqOGwesWgW0a4eTJ4Fmzcz+ed8+oGlT5J70RU4O\nzTEAaJGbNw945hkgOhrQaDB9+nRs2rQJEydORHJyMgYPHoyIiAikpqYiLe0y+vS5F5s3A6mp9BLn\nzgENGtDfz+e9ipzaUcDkyVi+vAOWft0V/7qPQpfp01WPqXdvoLAQuHyZbt+8SdPdx/sfg0vHNsDi\nxYCnJwDgwgV67pNPAh9/DLz8Ml221s5FJycneHt7AwBOnz6NsDAtzakAcPgwXZB33qn4nwcffBDZ\n2dlYubI9NJo6uHKF1hg/P+VnXhKGDx+Oe++9F1OnTsWCBT0QFxeLBg2+xZYtDZGfXx8DBxqe6OEB\nTJ4MLF8OtG1r8ToajQYbNmxA06Yu2LwZWLcOWL8eMJ+K77zzTrzwwguYPr0D2rWbjJdeegnPP5WF\nfbtv43nXjxDy0rtwj3ged0+cjPcXtcU/h/KQmHgBHTt2LN0B2hGtVouIiDq0v2jaFNiypdj/uXwZ\nGDPG7M7vvwdGjTLe7NGjB5o12wpXV8MdzZtjZOOjWNn4bdz1YndcPHQQQY0Mi0atyL4AACAASURB\nVMvNm8CBA0DPnvY4JJt56CHT30OHhmP//mgAwIgRND/UqkU/n3zpht1hL+Ksx0BMuPoeRrwwEr6+\nnfHsbBf07/IKXTOLF9v8vgUFgLNcmZw8CUyeDHd3y31eaiqtm9tP9kHw+SnAtWtAQACwcaPFewYG\n0t5u6lTgvfdoDq5ulPaQugGQzux/QOJNoimA8wBSAeQD2A3AbmeiqqCLibFpdrv7buDsWeD8eQBt\n2tCJYtxROIbVq+m3+TG55qajY+HfwJAhAOi45YLO0xNIiOgI7N9f7HuoCrrff0ehjx/+QSfT8xo0\nwX1YB3zxBdC9e2kOxyHodLSQxsaafZ3duwPbtyMjgx67cKHo15EEXXx86caRkkLirXZtEnSGtbtY\nQZeQYHb6JibC7a9t+CDnMfTpAxw7Rnf/95/hGB55BNi5k3aG5cDu3bR2hIUBFy/SfcnJBvGydi3Q\nty9MO5Gaja8vXYuBgSQKAAA9eiDq+C/wc82Eu3vxgi4tjc4VjQYYPtxw5/HjtFIZV3z74u1N53ty\nMt12cSmXtykST08gM9Nwo3lz4MSJEr+GNH5J2Jlz+TJw6VLxr5OSYmbs+fRT4KmnVCbOsiEJaQ8P\n0jv23lQ0bNgQV65cQUxMDLRaLd58803s2bMHGo0Gn376abFiDqDPITy8+PcaPBj43//ob2n+Cgkx\niMGxY8lgevs2EhPpfgUrVgDDhqlfH48/Tl/oH38AAMLDw/Hkk08iNjYWly5dwj333AM/Pz+EhoYi\nLGwjwsM94eNjEnTnzwMNGwLYvBmtjqxE/Z0rAAApEa0w5+l0vNH4S6sf/NKltBmXBF1iIr3uzkvh\nQLduCiPwsWPAHXeQIeDwYZMh0Nq5CJiO9fZtLZKTad4AALzzDjBpkuq4Jk2ahAYN7kBCAm11jh4l\nW09pBR0AeHh4YNmyZRg5cgyA+YiK6o/69eujYUM6juRk8rdi4kSyOFo5KB8fH6Sn65CbS0Ju8mTg\n3XeBP/+k8/ydd0j0Tp06FcOHn8SUAU8DI0di8Wd+WLPWFUPSVwE7diBmyNN4ZV9fNGgYgCZNaqF7\n9+5wLae5r6R4etL+Ak2bGg3EANkdpPNEzqVLQGSk7I7Ll2lRNVO63t6mJbywENh/1hf6918FBgxA\nnRfGwe3vaCAvD3j9dbqefHzse2AloHVr4IUXNEhJ0SAhgc5BDw8SdGvXkn35h/NtEf/G19BOehjd\nezdBXFx9iNcWkUHg4EGb3+v2bZmgE4I+86ZN4eUlWy8MpKbSZ7302wBoJz4MvP02sGMHWZBq11Y8\nV6cDoqLIdlhFfBUlprTLiTcA+W6yQPZa3iAxJ5EOwG5nYlYWfTEKrlyxaQVydQXGjSN1Dp0O6NWL\nTEoOpHlz+m0u6Fz2RGM/OkLoyBpo7qHz9ATiwsog6NavR8bA0UhJNZ3Z2cPGYL3LSPpcJk0qxdE4\nBslD98wzwNdfyx7o1Qs4cQI3j5FCU5t85cgFXWl0vlzQnT5tmn/9/GSb/dRUMrHKSEwko5KRVaug\nGTwYhXofREcDjz5Kd7/yCrByJQA3N5phDx0q+SBtYPdu0sKRkabN8OXLhkvMzNJY0/Hzo4VZIdp7\n9sTlkM545JteGH10NgqTbhX5GpKHTsHRo0CrVuUyZsDkKZIEkXNpYzXKgELQhYfTgIqyfKhgzUOX\nmAhMmwYsWQJ89lnxryNdu8YbmzcD48eXaCy24O1Nc0F2tswrZWecnJwQGBiIlStXYvv27VixYgUW\nLFiAPn362PT/U6cCs2eX7D0jImhaatfOYBBr1IgsQn/9hYwMo1OLuHIF2LABeOIJdUHn5ERC4ttv\nLd4nODgYkyZNwgsvvID58+fj1q3GqFULRkEnBAm6xpG5dCCffgqEhgKga/X0WW2xXtHISKWga9eO\njGmYMgVYtsz4vKNHgZYtSazGxxcv6HbsIAGYl0evX6eOwV7z8880lz/7rNUxBQXBKOjy8oC//zYT\nDaVAo9FgwYKZcHL6n3H9cXKiY+rYEfj8c1DowciRFK6hQkEB7cmmTaPn79wJ7NoFDBtGXssZM+i4\nz834DPdsfB/jlvYCWrbEhq9uwRm38cnD+4EGDdCuHXlCx40r2zGVB8Z5qlkz4MwZ4/q9cqWlTklN\nJYea4rtZuBB47DELQSYZ1QC6JHx9DXPQG2+QR3TmTLrj11+BOXPK6/Bsxs+PzvO8PJPHvVYt2peO\nHQt88w15qwE6VHd34IZTbdpwP/GEwUJQPLdvy/arcXG0V/f3NxrD5KSk0HuNGQNonp8BfPUViboH\nHrB4XY2GtOFjj7GgMycNgHwLogVQaPg71ewxPQDVHc38+fONP9HR0Ta9sYWHTogSmavmziUNt38/\naMFeudKm/ysv6tSh31lZyvu1f2zHDk1f3L5Nt3NylMft6QnEBLYlM2FurtXXLyykj0hh+BMC+O03\nYMAAo1UTAPKd3PGJ1/MUC2Wxw6y8SB66s2dpvjXi5gb064fbv1Booq2Cbt06i8gXm5A2hWFh5PyV\n5m9fX9oQ7HlsJam9rl0Vq35SksxSKwTw5ZfApEkIDKS19OhRGtvff9OpDgDo0MEmMV8aLl4k51C9\neqbP7OxZoKXTSTrfjDE5jK8vLcx+fjItotHgy27LcWTgPDRM2IvIPZYbUznp6SZvrpE//gA6dy6X\nMQMmT5EjBZ3C4qrR0C6hhF46KRTYfBN96hTwySd07dhinFEIun37KIKjHLzQej1w9Sr9rqwhPz4+\nss/CRho1IudV7dqycM1hw4B165CZaSZep08n65ufn/Vw+dGjaSJWfZDIyyMbQEAAjffNN4EXX6SQ\ny0HnlpC1tH9/4/P9/Gj6Cgsr+ljMBV2PHmSgQ9++ZOEyTMKShy40VCnorIVcnj1LY1u2jERngwag\nC2DaNIqKUaheJcHBdE67udHyceaMwQtZRpyc6DuTn+pt2lAkiPFSfPll2iepuLolsb5kCYnOZs1o\nfzV1KoVyAwJp/5sL/fL30KqLDi4/fQe8+CIGj9Jh799azJ1HO+vOnelzf+KJsh+TvdHpDPOUpycN\n8uRJZGXRdRwTo3zu4cNkazXOp++/D/zzD4kzMySjGkCfdYsWhgc8Pcl6u38/nVgnTpg2ig7E15eu\ni6AgkyCqVQsYMIDOy3HjlOuIcf8wejRN1AcO2PQ+ipBLg3cOoDnEXNClpsp0cu3aNAitlrz8lZzo\n6GiFBrIHpV1S9gC41/B3ZwBHZY+dBtAQgB8oz64ngL/VXkR+ML169bLpjS0EnbSLsnEFCgig0Msz\nZ0Au8KNHzVRAxZKXR7/j4sweOH0aJ5xbGZ05ah66tAJPmtWPHoU1Cgro/FZYJE6dAoSAV8dmCoO4\nwtVdhfDwoAn3wgWVr/Kee+D2F+XmFBd6lZ5u8rQcPVqkTlZF2hS2bk1WeLmg2/7jLTT+ciapsg4d\nFNZYhYfuyBFaJe+8EwEB5GRs1IisnNeuyQRdx460UJQDUnx8ZCRtPK5coc8u6sc3aCNmEfNcc5F7\n6G7JzFZp2S5I7DYU+9tNQZ2TW4t8jbQ0M/tJejp5iFSsjPZCEnTSmB3uoQNoA378eIleIzmZpkBz\nQZeQQHPrX3+VUtCVk5j29qa5vqSCqbLj5ET6rVYtM0G3fj0y0oVJ0O3ZQ3PcrFkAYD0kOSwMRreN\nFRISaHOp1Zqidn74AcjacwQtt71DsX8y/P1pLitub2wu6Lp3N0TaOTtTCsTatRCC9ttt2tDcnZ5O\nYf3BwdY9dDExlKO3YoVM0H31Fa0HPXoUOabgYNoPh4ebIiDL6qGTqFNHGSEyfDgwaJAsRSE0lBTa\n889b/G9qqooxCnRsu3cDn0e9jkbnf8VTLXchedYbtPkChXh37mwSkvXr02dSXl7rsmAMuQTIc3b4\nsPGzMa7HBg4eBNpLCUgnTpAw+/VX1eR9ecjl8eOmaC2LJ9k57Lu0+PmRg0Du4Z4yhSJC1ZAMHdBq\nyS32+ec2vY9iHypLwNXrLefy1FSzuXTJErIkyDfLlZRevXpVGkG3DkAOSNi9A2A6gAcBPArKm3sW\nwFZQlcvlAGxIsbYNi5BLKX+uBD5UV1fDZt3dneLZPvzQXsMrMbm5wNNPU3EUBbGxuOFa1yj41Iqi\nZGaCzHVkClNFNdxy61agf3946TXIzobRC5if75hcmrLi4UGLQX6+iqDr3RuBx/5AeF1hk4dOsnr6\n+ZV4b2ncFDZoQAuVPIfu/viPsLHgXmRE3UGm5B07gP37UVBA/2e0kP70E4U0arV48UVaXJs0Iadd\n8+ayBaRbN9qtFhaqDaVMSIKuXj0KV7vjDiAqMA3Om9bTxMwYCQqizZDCQwdaeLy8gNjGfVD34s4i\nrQMWHrr16ymJ0ei2tT+SAHV0yKVigW7RosQeuqQkMniYe0Ukb0lBgfI9bt+m2ivmc4FC0P3zT7kJ\nOr2exuDAdJhyJSSEhBYA2oi5uyMw5hA5n9LTKXRs9mzjYmZN0BUWguK4VMIuJeLjjdGUCAoCwl2u\nY/T1Jfgirj+cl31CKkGGtKcuzkMXFkbXxa1btN/o3NngoYNhTMuW4b/DBXB3p7leu2UzXnd7GUf/\nE+jQOA1ZN9JJtT/yCHDPPcZcwJgYciBcvQr8/jvQoL4gd50Up1YEQUG0tkVE0HlaVHGvkmIu6Hr3\npk36+fOyJ82cSQvihg2K/01LUz+X69cHBuSuwwM3P8I431+x9XBQsR7FSqJbLJD2WkKAjAyHD+Pc\nOdorxcRQ9I2UFnHoED0FAPDWWxRzakV5y0MIFR66SopOR8csF3R169I+QY3QUFmBubFjKdnOBiu5\nIuTSTNBZC7k04uRUfeMpbaC0gk4AmAIqjtINwFkAawBIEnwTgI6gYimflHGMCiw8dDbmz8lxc5Od\nV5MmkVmvoMBuYywJubm0N1fs3YQAYmIQ7xpu9NCpFUXJzAQtBkuXWsZsGrBWEAX9+kGjoY2kFHZZ\nVT10Oh2Fv3TsSGJEvkFYdyQSqbc9MarpUZsEXePGFP3Svz8ZkkuCVFhBowE6dTJNNEG6TDyFj/A2\nZuDff0E7/XnzgFmzkHIzH3q97HNfu5Ys2yAraUAACbqNGykcJS7OIMDDw8lsW4Jk46Lo3p3OMSFo\nEg4NpXUoP5+OZ6L3z+QuLEeRURXp04eKW5h76CRBV+AXiLiQtlY9Ddu2Ud6nwkO3bh2VEitHwsMp\nBEyKaKs0HrpShFw2amTpFblxwxTBJhd0mzdT5Jy5QdQo6AoLSdB16oTyQBLu1VXQyb0O0GiAYcPQ\n7tS3iLi2l7wb9eoBDz9sfL6Hh2m+3rSJIqXy82kPd7zR/VRdQ7I6mGEUdEJgQN4vuBLSEQPD/sWe\n53+B5gHL60cymhXnoXNyIqG2dy/NvyEhtI7GxwO46y4gMBApMxdhyKBCaDZuACZNwr0FGzB+7X34\n7kAU1u+vRfmvwcF0rKNHAwcPIiaGDn/SJHLatBcHaNExeK2KokULMu6pOMnKzMyZxiXHSFQUba2M\n2yIPD2DRIsrvkiEVdLIY718f4zM8juhp6xHUOgx5eSXeplUanJ3pJy8PQJcuwB9/4Pw5gS5d6DM6\nf55sqwBNXy1bghaD9etJ1FvBJg9dJUKq2G1rZd6QEJmgq1uXTmIbqoRaC7mUC7rERFp733qr+s6l\npaGSRvFbx6KAQCnKPbm6mkIdERVFsbe7d9ttjCUhN5cEpoJbtwAnJ+S5excZcpmZCZo9BgygXYqK\nqLMoAZuTQ8dqWER8fU2Crip76I4eJeETFaXUOKtWASuyR+OBzK+KbUeQnk6TwyOPUCjNv/+WbBxy\nK3///oaQGiHQ9/2B+AVD4XxHcxw+bHjypEmAXg/PPl0wwsPQfuCPP+hLMMZsEE2b0jk7dixNpteu\nGR4YMMCmCbI4cnIoEio+njbGnp50rjVpAjz3HLB85FY8ceUFyn1hFDg5qXvoMjNNn+O+ppOo0pcZ\nx45RVfxNm2RzWlYWeW/LOU8xLMx0vgOVX9Ddvq2eU5+URDrhzBmls/rGDfKGjBqlFHSpqbSvkKKV\nhaAIS2Pozrlz9KFIrh874+FBEUjVdRMiL/QAAJgwAa2v/YpOXz4OvPAChRjKqhfKS5FfuEAb402b\n6PvcsNOHSkj++CPy8iyDEYyCbtMmCgX//HN0PLUSQxere1dt9dABNOf+9RfZrzQa4MEHSUwVCg2w\nYgVCDm3G/PWtaR7fuBFzu+/Cb2nd8PeMtWjud52iYBYvpmoNS5cC48Yh9UoKwmvfxqLJF7FxbT66\nHP+cykLakEwZFkbBG+VRfLp9e9pvy/HwoHnt6lXZnUOG0B3GRcyKh+7IEXi/Ox+9PPbD5+72aNmS\n1uWqaCyWMEZEdewIZGYi9+BR3H03bT9v3aJwWyEo/zwqCrSWd+tWpPqRBF1BAZ3vFq09KiF+fqUU\ndABdCza0CjM6FoSg9cDwwchz6L7+2uTYqcEOOQscLuiSkkrWXsPCIlQKQafw0AFk+lq7tkSvYS9y\nc1Uqk8fGAuHhcHGBIuTSvCiKUb998QVZA1V6g1l46HbvJhFoWN18fEwb0arsoTt1ijxKc+bQGimF\nkcbHA5/jUdxx9Bto04quoCc3FtStKxNONiIXdFOnUq47Tp+GV8JFPImPMWCALC/B1RVYtw5Xxs7B\nguSnKZv/qafI5GS2wPfsSYZRPz86RmPY5YABVNymjEjejRs36Jhr1aLbOh3wdsRS3L/1Meg3rCYP\nHaOKXk8LvmTRljx07u7AP3VH0IptVoBp/36TZdyYXL9+PXmHFGVP7Y+TE1nMw8JojJVC0IWF0USn\nUlVi5EiTFVxOaiqFBPv6Kg0wCQlk45o1SynoMjPp4716lTZip0/T9eXhYfgMyjF/DoAxKqK6Cjp5\noQcAQPPmGNv+LA6tOKbqrZBv0hITyWv88cfk1NqyBWTFWr0aY8aQcU5OfDxQK7iAJv0PPgD69y9y\ncyd56GwVdLt3mwIS3nqL5u5HHwXQoAGGh+xGynOvkCWxQwf41NHjY8+Z6Da7J66m6lHQuh3i4qjA\n4elWo1B4Tz+sie2OiKGtoOnSGYMWdKAQ9okTix+Mg2jbltIQjYYUZ2dKmlq61Pgcixw6IYBnnoFm\n0SKMmhWJ1q3JOGpDm+BKjXG/pdUCY8agy8GlaNYMxuIoWVk0l+h0hs/j4MFivfySx+nCBRI/lTF/\n0BxfX9pq2oIk6OLiyL6BESNov2IeN2mGMeQyOZluGHqeyHPo9u83FYwrh2LEVRaHC7r4ePpybKxo\nahdBp/DQAWQmX7u2XPKRikPVQxcTA9StC1dXctgIQfsc+fMUmyGtlnb877xjkfhlIei2bqW4fgPy\ncutV2UOXnEwL9bhxtGmSerfFxwODnq6HgpFj8MXth5CXpkzYyM2ljaIQSkEXFFTyZsWKPByJHTuQ\n1a0vPHRaNGoERVVRODnhbIv7MavbHtqtDB1qGfsCEljTptHfEREyQde9O8WYF9X4yAak44yLo/2s\nJOjw33/Aq69CEx1NiRWMVbRaZfiyXNClF+hIqD3/vKJq3/HjZFsZNIhECQAqs15BFbqiomiT6+9f\nSXLoiqh0mZRE5cDNka5Zc2f1jRu08fDyUr5HRgaJqfbtyUsXH0/zXkUURJHQ66uvoLPw0AGWbQtk\nyK34iYm0Xu3cSbUNjh8H/g3ph4IjR3Em+jr2rL1BCZBbtgBCID4e6Bm3hj7QwYOLHZufH62htthK\nmjShfYn0XE9PmqJ37KBtwqUYJwRMGmrsdRUaSlEZOh3ddfkyGRY//RT45Rfg6rNLsNjvTWiXvEsn\n3cSJ1DjdONlWPr76ilIYY2Nld06eTHOZ4WK02I+tX09f5MSJePlluq7GjKHXqsoYPXQAMHMmmsX/\niRb7vkBoqCm/cudOWdrmwYOyZDp1JA/dyZOVP9xSojQeuqgoQ7HZgAD64733ivw/o2Ph8mWKUTZY\naeQhl/v3Uy2hli2LLA5b43C4oEtNpU21ecNAa1iEXNrYVFyOhYeuWTNa+W0sq2pP8vJUBJ2Zh+72\nbdowyjddFpuhRo2o2MbkyYqXKk7QyXukVWUPHWCyvHbrRvkPQtDauXgxoPvwTcDZBZpBAxXWgz//\nJAv9nDnKcysw0E6Cbvt26Ab3wcsvW4blAbRR1dapTYH4r79ebPxARISsoIObG/VX2Fp0FcWiyMoy\nFTFYtoy0hHGPMWMGlay2lvXMKJDn0ckFXU4OaOVp355K1Bk4cYIW8o0bgQULYOpLMWRIhYy3Xj3H\nCjq1RrG44w7V/oq5uZYR5YWFdJ+XF2kwuYfuxg2T1dvcQ+fpSVP+uXOmiozG63bXLsqTKUdqlIcO\nsGxbIMNYCQ8033p4UJpaaCjVX+p0pzt+yhuMlbeG4PUNTbH/vtdQ+NwMiDZtMPjrB3DXL8/YNG8C\nlDu3caNtIVqdO1PhSXlruIAAmq/j4+k7lG8kH3+c1hmAqhx/9hlt9OfMIa/jsRNaJLS/l0JItVoK\nEa3ku3h/fxIoirDLwEAyOn7xBQCzkMtr18iD99lnik2Hs3PVP98VBnRfXzwZuRn1V7+CCU7fGgux\nGQWdECUSdAkJ5RbhbXeGD7d9egwJIaNZXh55aQHQHnXJkiI3V8Y0ITNnjSTobt405U4zShwu6KTJ\n39bNs6qHroTZthYeOoA2UZs3Y9Giiq2Pouqhi4sDwsKMgs48fw6gxcXiMxs3jlYRY5kxM0F35Qrt\nYGShAHILaVX20AFGYym6dKG9cUYGLd5eXgDc3fFM6PcoTE1TdB+/do0W7uXLSWxJgi4YCZh8eR55\nb1u0oImoGDfyrVtmgk4IYO9euPfpjpkzTc1vJfLzgdWrDeEoNpb4UnjoAIpNUsnPspURI0wGs717\naeIdMADknTt92lS+iykWPz+KmpUMVFIOnbFIz3PPUWEBw+Rz/LhZZbN586haRwVdhPXq0ZgDA1XC\nvisAaZN0330yx+WIEdSh1gw1o19mJl37Tk6W4rAoD52Xl6m8fnw8fUe+vqDYp6QkixxWe1PdPXTm\ngq4oD11oKAmGqVNpo/bUUyYRNWMGVX1fWm8JdnSYhYkdT6KP9k8c++ow9o39EDv97oPz/r9tztnQ\naCgM1xYiI8kb162b8thycih62tzGFRFh8s60akURoA8/TNf32bM0nbZqZdt7VybCwlRSD/73P+Cj\nj4CMDFPIZWEhMGECCbpiWjBURaRetxJHshrj5opNeC5mKlJPX4dORw7X+vVBiXReXsWqNEmgqPYh\nraQ8+qjt1ThDQmiP88ADMgdKRASlbmzebPX/jCGXZoJOmstPnqQxVNY+no7E4R+JtMEtlaDLyaFd\ndAnDFiw8dADQty/Etm2YN6/YEF+7oiroDOZlKYTLvMIloJJwCtBGsHdvhcdGIeg2bQLuvVchHuQW\n0qrqoZMEneSh69zZ1JNTPqd6ejsh9vmllK9m2GVfv06Ri5GR9LFJgi5g9qMIybmMglEPUofiNWso\nkaIILDx0UnNBQ1k1eb4iAHz/PX23M2bYfqxSDp3RSzfCkJ9VRC9Ca8TGUvTS3r202cnIoKKpY8aA\nrKyTJ1dNhe8gFiwg51JsrCnnVSHoevemSjmffIJbtwCP1HjU/X05XaQXLpDCGzeuwsb70EMUBbpi\nBTl6Kxqpetwvv8iui7vvpjndrMRsTo6lh07ev0++4crJoXnVx4fuz8/MQ2EBGWMkoS0JuuvX6Xx/\n4AFQSfbBg8t9p1CdBZ1aafHiPHR791Ja1okTpAn69aPHAgOpAuPstwPQ4uURWL8vFAMGAEdOuGLy\nV93RfslYaBpXnJleoyGv1aFDRfeAa92azr+hQ6kNTlUWdLVrqwi6Nm2oxOCsWbh50xCWumoVXZBz\n5zpimOWOeb7vrVuAvmtL/Bt1P0bmrESLFmRH79cPZs3orCMZP6xVCq3q+PrSGjhxopkxbsgQi/YX\nchQhl7ILTZpbLl0yFJ5hLHC4oCuph04RchkTQ5vlEi7Aqh667t2BY8egF6mWj5UjqoIuIQEIDkZI\nCC0GTzxh2cs5OJgsmhZpfwMGKKwfCkH322+UsCNDLuiqqodOp6PPUJ70npBgKej0eiAhqjNle7/4\nIgBTz7VXX6XXqVMHwI4d0J46ied8liOlzwNkcdywgUJ7LDrAm7AQdIcPU9iFIcZHXlEUAH7+mSxe\nJRHRERGU5tO4scGT7OpKXrr1621/EQPffUfx8CkpJotzw4ag2fe774osucxYMmiQyYPq6UnTklzQ\n3b4N5Lz6NvDaa4jbcgzbCu+G5q03yQu8fDlleVfgBVirFkV9RUY67rqXPDdG0WsoOoDvv1c8Ty3k\nUr4WyItE3bpFc4FGAzj9sAYJCEL+6+8AMHnoIryS0HvXywg+9Bt69hCY+nQhNb4dPbqcjtREUJDt\nhQWqGp6e9F1KRakA02euRmioqXdoYqJ6V5SBAw1RA6BQ2fnzaY5XSTcudwICaL9eVBR6x45kVGzV\nigRRZiYVWKmqgs58ycvLA3656z1gwwbo/9mOrkkbKfpg6dKqaRG2Afn8kp9Pf+v1wInOkzEFn+DR\n+5Pw9dcGj24pBJ0ijaiaoNFQkE/79maCbtAgcn+btSOR1oDiQi4vXSraoFKTcbigK5OHrhT5c4AV\nD527O7I79MQgbHK8oDN46EJCyI2/bp2lh87NjSYZee8rAJR0+vvvxrhRhaA7fJhWGxmSoCsooHmo\nKgo6Dw9aeKTcCG9v2kRcvWop6NLTQfH/GzYA332HpJhM9Pv9Odzz02OI+TsOnfQnjaFvPsFupvOy\nbl0SOFKihAqqgq5tW+NNecjlzZs0p5np62IJD6djyMuTWU779i2yubw19u41eONgKpncsCFIzPXo\nUXzDJsaCwEAyLEobWLmgW7oUmLykOTBtGpqNbY1DUQ+QVy4/nz7zKVMcNm5HYSHoABK2P/ygCHFW\nC7mUCzp50YLkZEMR35QUYNo0zPb+GC7vvgGkpho9dB0+noigpFMYsf95KPvM7QAAIABJREFUDH2j\nC8X8eXnZ1BOsrHz+OXlvqiMajbIandRuwFpIr3lUWnEFS5o3p33eM884ply55KErStDVrUsh/xoN\n/bRoQT9VsdKjFHIp3xPNmAHc97Avzs/7CrP+exB3fPgoJSeWU+/GyoB8fpHWeY0GyG/bCd9hNB5c\nPwpjxxqeXEJBV5VCLktKeLhKNePAQJoAly0z3pWaStdNTg79GD10ZiGXkqDjtH51HC7oypRDV4r8\nOcCKhw7AzT5jMAarK5Wgk+oDmAs6wErYZZ06NAvv3w9AJuhu3qT4PrPPSxJ0u3ZRiW8bU7kqFVJl\nMQmpz9Pp01YEXWAgxZk9+ywe3z0egSnnaQfYpAmFpDZqBIwejcBAs8p6M2dS6KWxxrwJIWiiV4RS\n/f23QkBLgk4IsjpPm2byKtqKpyd973q9LJeuRw+qCGGevFIEQlDC8oMP0u1mzQyhaEG3KbT06adL\nNjAGgEnQSUJFLuh++41EvJg9B+8/H4cjQ+aTBWXzZgq5rAqNiOyM9DkpDGytWqGwoJDCE2B6vCgP\nnTzkUvLQYdEiYPBgbA0ci6w2XYGNG5GZCfiIFOgPR+Nxp+UYEnEUqROn0xe1alWFqASdrmrOs7Yi\nFUYZPJgiZ728rH+shorkiIqidb24XM62bWma7t/fvmO2lYAAql9Vkg3lzp0U2l4VnVe1a1Pwh6cn\n1bJISKAU9BkzgIV7euNBpx+BXzeXe2VYRyP30CUnm9bt4GBgLl6D+9XztOfKyiJDrg2CzsPDVLit\nugo6wLQGKqLJpkxR5ErfukUaYORIyqN10gpaE41lQ2mpdHExtahiLHGooCsooA2uv38pQy5L0bIA\nsOKhAxDTZih64C/kJ9m+MS4rFoJOCIWgk/Y0Ngs6gDw2f/4JQCbojh6lCnJmK6v0GtIGw9gnrQrR\nrp1l7Q5/f7rwVQUdAHTtCrz+OrTZGUj76Btq+5CYSOaflSsBJyfLSpdBQVTOzBCuKScriyYb43eZ\nk0MuMFnvNunxixdpU7BgQemO959/SHcaBZ1OR9ZRw3duC1evUlhUhw604eraFfhmxW1o5s2lk6JP\nn9INroYTGEjfi7mHLjub9H1hIVVX/O9GKOo3kF2LNbQ7qvQ5yT10V2I0WBvTHqnRpjw6tRw6ayGX\nyclAI49YCmN95RV4eQHJ3YYAGzciIwMIP7IemrvvxrV0Pa7EauHx8Cjg7be5bJqd8PYmY9qmTVQY\npKiy4u7uZOgaOlQ93NKcqCia1x0liCUPYkkEnZtb1b28w8LI2zphAtmdfv6Zwl9nzCAnekxULzh3\nbFvs61R15B66W7dMTepDQoACOEM8M43aRm3eTEZcG3pjaDQmA2B1DLmU0GpJvCrm7/btKZbXUMBP\n2pdt3Eh71uCcGJpIpA/agF5PLanYQ6eOQwVdTg5Z8urXt03QCaHioSuFoLPmoUvO88JJNIPT8f9K\n/JqlxULQpafTauXpabReSsUVzLEq6Nq0oSxsyASdlazskBCyEEkX1LlzZToch1C/PhV4kOPnR9WQ\nrAo6AGL8BPQt/B2hjQwnlNnKGxREC5iizdvs2eRmMSutnpJiNvfs3k1xNmbVD3x8qO9dq1alX+Qj\nIlSqXd5zT5Fhl/v2KRszHzlCc6pGQ6FA4eHAsIxv6Ni+/bbq7kAcjDUP3c8/0+d9zz30PZw/T/VR\najrDh9MmXS7o5s8HDqMtCg4eNt5nzUMnrQU6HeCckQKkpyM5GRh68wuKJ65VC15ewPW2A4Hff0dB\nWibCflsOzYTxCA6mc9/WvkqMbej1ZFvq3ZuEnUVRDTOeeYYCAp54omLGVxYCAmhqLEVgUJUkMpLS\nSmfNIuPyunVUQCgkhFJ/GzZ09AgrBnnYoLmHTqcDnB9/hNbOxYuBUaNsft2AALIhV2cPHaASdunk\nRJFFO3cCIKOBt7cpt7hOynHVth6BgaQDOBtEHYcKuuxs8tDZKuhyc2kyNQogO3voUlKAf9EaLieO\nWD5YTlgIuoQEYxyKJOjuvLOEgq51a5sFnYcH/UiJz1JPt6qOvz8tQNYE3dNPkwNNp1P/bAHqhxQd\nbVaQSa8Hxo8nU5IMi/y5jRtV44J8fCi81dhIupRYCLq+fSl30gobN1KTW4mYGFPYQnS0oU/M119T\n4ySeLUtNYCCJZWnD5+5ORqg5c6gEe7165B3lPABi9mwStvL5+PRp4AjawOUoCbrCQvImm+fQKapc\nXjqBQ5mNIV6YjdTEfPS6uJwamYG8gLfcqPPzwotj4R53ARgyBH37UhgZ2y7si7c3CbrOnanWWHEs\nWECi/vnny39sZSUggKZHR7T5cAQ6HWUZ1K9Pe42//zYFnSxYoOzTV50xD+mWjLeRkcCkSaCJaOFC\nWvPHj7f5dQMD6XVrkqBr2dKwD+vVC9i+HQDd7tiRNDEAhKWcUO2P8M8/VEW6KoYvVwSVQtCFh1s2\nXFbDoqm4nT10KSm0kXA/9a/lg+VAQQFtVhQnp9RACSZB99RTtBk0x6qga9yYduyZmUpBZ0VFBAfT\nBnPcOLOcsSqMvz/VmlATdKmpVJV/7dqiT5+xY+mzP3HC7IGePYGdOxEXR6EogJmgy82lBnMqE7uv\nr8lDVxYiIszCY1u1IleilSqcmZnAgQOm21evmnSbTgc6X44do+Q+ptQEBpK1Ufp+3d3pa/HwoM2t\n1Jw4MZE9QxKK1g6ga/Ssrg3cTx8BhDCKPbmHbvt2ZZsR5+9WYbemJ7B+HSL+/ArJwU1o5wBTMj3e\neAN5BU5IWfoN4OKCFSso1JixL3o9bbzat6c0RqlCZXXA379mGmKcnEh0h4WZvFMNG5LRsyZg7qGT\nBJ2nJxW7AkA9f157TaUognWkMOPqHHIJmD6/7GyqA3bmDLDVbQj1rCkoQEYGfQbS51E7Wd1DJ/fi\nMZY4XNClpdEXZEshEkW4pVTmrxSxD5KHLi2NQvX+Neg3SdDpzlaMhy43l8SlwkJsyJ8DTIKueXP1\nAlKtWlFknzlzXnZBUlAT4NgxFBQAbpo8cldZ6Qjp40Pl+/X66uOhkyZcNUG3ZQtZ/KOji0+ubdGC\nJiAF3boBBw4g5lyu0VGnEHS//EKbSZVmKR4eFG5nVmy0xHTqRPYMY2s8rZbGtWeP6vMzMymcVjKc\nyAUdABKgI0aUaDFiLJEWJLmgA0zpWf7+FJLp4mLZiqSm4uamFHQZGYAmNAQCGiAhQVXQffUVec6N\nG6EdO/Cl59Mo9PJB/23P4vB9JgtYcLChNUt4OB50+Rku/XuX9yHVaA4epN/9+1NUVRE9hKsc3bpR\nX62aSKNGQJcujh6FY5B76CTxYQ+k9aKmeOgkB8TvvwMvfdOQNrl79yI9nQxvkrEgJEndQ8cUjcMF\nXWoqWarVQiDlCEGtiYwn/uXLpY59kDx0ly9TYu/IkbTRTUwEzqIRPOIqpjJIXp71CpcAXQTjx5sa\nZpvTrx/liSlC70Ab98uhnYB//kFBAVA//zS5dKzsIH18SBsXlbxe1ZDHuEtIgu7XXykq9ciR4h28\nzZuToLt9mxxYAOgkvOMOuOyJRkoKncMKQffll1Z7uBlCxss8VwUGkmVQEWXZo4cyUU6GVEZcSv2z\nEHSrVlVoU+vqirmgk65vKdckIICsk7YUgKgpuLsr5//0dCAkVIO0sKbAyZNGsScPuTx9mn7r9aCL\n79QpnNR3RuI7KzG3z37ktTPtPCMjaY4UwtRYnCk/PvqIvKfWQtmrMs2bU6GXmsj991dIm8ZKidxD\nl5VlP8N3TfPQST2PY2IMxuXhw4GffzaKZFdXQIsCBCedqpFVn8uKwwVdWpptgi42lrzZxv49Zagq\nIHno0tMpd8jZmWLEP/sMSIUPUFhQohLwpaWolgUSX39tXbO6ulKE3JYtyvsTEoDzwd2A3btx4wbQ\nWnu0yBg/b+/qJ+j8/GjzLP/sJEG3YwcweTJt8Irz0EVE0MTz/vtmi9moUQjYtgYAbRaNgi4mhsoX\n33+/6uv9/jtVabMHFnl0PXtSYRRZ/y6JzEyKxJX0XlycTNDFxdFMy/FnZaZ2bXLO1qpFt52cyBsn\neegCAqjKKQs6E+YhlxkZNAWmhDYFTp2y8NAJQaJY6nmGv/8GOnSAi5cbUht1wInCpop2INJ1IvU3\n4vyL8mXQICr+w1QvJkwgI3JNRF5F196Czs2t+udkmgu62FiDoBsxAvj5Z6SnFhorHtfDJaS6BVd/\nlVsOOFzQpafTJqe4kMurV8mrYSz1XgZB5+pqCrn09qYKTq1bU86VVqtBtn8desNyRlXQyYqi2EJ4\nuGUe3Y0bwEn/7sDu3ThxXKCN7kyRXU0lD510QVUH/P0tm9YGBlIhFGdnqsAGFO+h02qpV9vMmabJ\nCAAwciRqH/gFfkhWCroVK+gfrHhDe/emPkr2ICKC9KOxv0vHjnRyb91q8dzMTOoL9ccftCG+elXm\n+f3rL0rw0jq8LWWVx9+fOoTIw6jd3U0eOn9/8vayoDMhD7mUGlH7+wM3g5oBJ08a50lpQ3XtGm2o\nmjY1rPn79gGdOxtLi8tzXACToMvMrF5zHMMwFYO8bUF2tv0EXUBA9Q+3BEyC7vp1uh0TQ8VlRNNm\ngJcXAk/vNuq3FjiOy56W+XNM8Th0B5eVRReHn1/xHjqFRwEos4cuL89UZOWhh6gcr7MzeQsz/etY\nLS5hT2zx0BWHRa80kCa8ggjA2RlJ+86hfsHZIusLe3vTxVWdPHTBwZahqj16UGGl/v1NQs6WBpVv\nvUV9MNPSSPQDAGrVwulWo/EyFuDKFUPlK+8CCrc0b4pXTuh0JMaNgl6jAZ57jtyJZmRmknX18GEq\niOnhIfu+d+2iD4cpFwICTPYUqT0RCzoT8pBLaU729ASu+5kEnb+/aUN15gwZRebMMeQW//OPUdBl\nZVlWnI2MpPD6jIzqNccxDFMxlGfIZU0SdPKQy/x82v/juedw5x8vQe9xG0hPxzCswzlXzp8rDQ4V\ndMnJJGjc3Yv30MXFmW3Q7RRyKV1M3t7A9OkULpXhHeY4D52syqUtBAUpBV1eHomLjEwN0Lcvgo78\njuDUs0U2zZU+g+q02bnnHuCbb5T3aTTAd99R7pmHBzBsmG2nkK8v8OGHtBmXVwHd2m0hxmA1/l1z\nCnv2AM2vb6cvpHVr+x5MEViEXT7wAG1wzc7fzEw6rZ59lqJB5841PFBYSB69mlKuzAEcP06hmACd\nS1otCzo58pDLjAzyoul0QKx/K+DIEeRkC/j5mTx0Bw5Qwd6xY4HI8EI63zt1Mm4a0tKU7R9DQui+\nM2dM3wPDMIytyIui2FPQ1a9fM2p/yAWdXm/KaLp1C8DDDyMXbpj4RmNg4EAEIwFrPCc7dLxVFYcK\nuqQk+qKt9YWTowgRA0jQlbKrpVQURd7HCADefJMKE6b7VF0PnSQ40tOBwr790Or6FujizhX5WUmb\nn+ok6Jyd1XWxRmOKV1+7tmTWMfM2EfEFQfih4VzMOPQgQvNj0eHgx5ScV4FI3gcjOh2Juq+/VjxP\n8k4sXEjVlZ97zvDA1q2kMtq0qaAR1zzk15VWSxEJLOhMyEMu5R66BE0IoNdDc+kifHxozi4ooCKy\ngwYZ/vnECfowQ0KMmy7z9jZaLYWmb9xo7GTAMAxjM+XloatfH1i/3j6vVZmRCzq5byElBYCzMxZ2\n3YrjDy4CwsPxZJ2N0LWqIR3r7YxDBV1CAl0YckF34IAyQV5C4aG7fZt8tqVsCCP30JnnXbq6Aqle\nDvbQlUHQSYIjIwO43qIvuord0Hh5KU3WZkiihvNLisZc0KWlAa4znkGTV8Zi3bkWCEy9SG6DCqRV\nK+CFF6grBUBVT3/wnEi5fLLiKFar+334IXVZ5+7KFYa/vyn0klGGXErVzow5K+3bw+3YQbi7031X\nrtA5LjU3RnS08YZOR9dkTo7lhqtzZ/LYs6BjGKaklJeHrqbg6Un77X//Bdq1M91/6xb9zsgAUvqN\nAlatwunzzvj2W8eMs6rjUEF34wZdGPJG31OnUtEycxQ5dDExVPGilD2z5B46cw+NqyuQ4uUgD112\nNg2sCPFlTmAgeeUOH6b9u1RTJSMDiMv2x0v1v6VKQkVQHT105YGaoPP20QDPP0+djv/4o8IrM82e\nTQ18//mHbv/8MzBqSScUaJ0VPelUC0KcP08VOWtqLWoHERDAHjo58pBLqR+Rsapc+/bwPHkAbm60\nVmzdSumebq4GY4VM0Hl60vWp11vaJ/r1o+u1JoQ3MQxjX8rLQ1dTCAkB1qwhY6bUy9Df39QXV5r3\nAdoTcyXi0uFwD52np6nqpBCkaeQNZAG6/8oVmYeuDPlzAJURz8+3DLkEaCzJOgdVuUxIoDjBEnhL\nAgPp3zp3Bv77j8LvoqLoArl+HbjYZCB5YYqgOubQlQeSoMvOpnNSYRDo0IHy5yoYrRaoW9cUaktC\nQYN/mhq8dKA0OdXKXK+9RgVcuMN1hfLII2VvLF+dkIdcSh464waqa1f4Ht8Nd3dqBfH990CH9oI8\n4W3bArt3A336AKDzW8rRMKdPH5pW2UPHMExJYQ9d2Xj4YYom+t//THumevWowHZcnH2btddkKoWH\nzsmJNqYFBbTxlDeQBSgdKDCQhAoA6pxdBkEn5VElJVmeRG5uQLKHg0IuY2Jod14CpM8vPx94+23g\npZfoosnIoPLethQBYA+dbYSE0GnRrh3l46h5eB2BPOw2K4vOqV+8x1OSYEYGsrPJC6LoSrBxIzXk\nmz3bIWOuyUyeXHy7jJqEmofOuIHq3Bn6mOPw1aZhwABg505gWMoKqjTz/PMk6Awh6pKgU7smQ0Lo\nXxxgc2EYporj6kqG0fx8FnSlwcWFcp8nTTLNz5GRVLdi3jylh44pPQ4VdPHxpgtDymtT89B9+SUV\nc3ByMtxRRg+d9H6Jieohl7dcgoHUVPVkPjtiIeguXpSpVtsJCqJw1G+/BebPp+brGRnkoZMaHBcF\n59DZRtOmwLJl1Bj8woXKKeiys2mcR2/WoljMbdss8+cuXKCZ9ccf2SzGOBxrbQsyM+nBxHod8NHG\nupjk/DUGYwOafzMLWL2a+j3Kij35+1OEgrVTulmzcj8UhmGqIRoNzUkZGSzoyorkQIiMpP32unUU\nZcZpCGXHoZGqN27QnhMoWtClppp5ms6fB+68s0zv7epKm2DVkMt8LSmha9dKJbBsxaIoSykFXWAg\nMGEC5R5OnkzWkNxccvh17Vr8/7OHzjYGDaKm0cuXU5hAZRZ0R44AeHQAsGULMloNU4r1L76g5oud\nOjliuAyjwDzkUsqhkyI1/us1Dfm6wxj0zuP4JjQc2tU/qCbDhYTQ0nDHHRU4eIZhagR6PQs6e+Dt\nTXvU2rUp/blpU8qL9vNz9MiqPg710OXlmS4MqVBJTo6loLPYONvRQ6cm6PLyQC6vci6MYnFcpRR0\nL74IjB9PPdZcXU3WpHPnSuahY0FXPI0aUSz41auVU9BlZdEEeeUKIPoPAH77DZkZwvTdpqVRbt0j\njzhsvAwjx90dOH2aUjolI5c8Z+Vs06H4vesCaNatg8+5Q1Z7JoaEkKW3MlyTDMNUL7y8WNDZg8BA\n8s6NGQO8/z7w3nvA8OGOHlX1wKGCDlAPuczMBLUmMAgqxca5oAC4dKnMnjPJQ6cWcpmbCxJ05ZxH\npyroStGK4b77KNxIjpcXCTpbcuj0eopj5spCthFmSLGsLIm85h66wEBDHy//JoC3N5x27zQJuqlT\ngcGDSfUxTCXAzY1sdB9/THOiuYcuJ4dEH/r3LzIuXOr2UhmuSYZhqhd6PZXZLyggDxNTOgICyIAX\nGgo0aeLo0VQvHC7opI2mqyst4AUFBsvsvn3A0KGW1QSvXqUdaxlNJG5ulOSqVhQlLw+0a68AD52i\nQ4EdhKqEmxtVPgwPL/65Wi3wyit2edsaQVgYVfuPjKwcIjgoSCnoPDwMDcevaIAnnkDA9x/TdbZy\nJbB3L5nEGKaS4O5Ov69do84fzZopPXSq/TpVkAQde+gYhrE3Xl60p9LpuG1rWdE6XHlUTxz+sco9\ndKmp9HdWFqgM/JkzyL2RAo1GtqCfP69IhC8tkpBU89AZBV1Feuiys4HkZNtcajZw+TJt7Lmqm/0J\nC6NqV717O3okhL8/WQ7l7Qnq1wfOnAEwYQJ8ju3G4pNDqLLQ999zbC1TqZAEHUAFh7p2NRUgAGwX\ndNJcxx46hmHsjV5vqszOMJWRSiPoXF1NTQYzM0EreKdOyN2xWym6Tp+2i6DbtIlKYJtfnEZBFxqq\n7CJdDigE3eXL5E6zo+nioYfs9lKMDA8PElGVRdA5O5vCQbKyaHydOlGRHHh7Y8/opXBx1VKjwjZt\nHD1chlEgibWOHam1nF5vylcRwnZB5+JC4Tws6BiGsTdeXpSjy4KOqaw4PGBMchZYeOgAKoGzZQvq\nebQH8gNoxd63r8wVLgEqFqJWMMSYQxccTFdvOaIQdKXMn7PGuXPc66o8mTsX6NfP0aMwERVFAk4K\nuezWDfjqK3psb63hyBk/HG25LQVTCZE8dNOmUZACQPOwkxPlz6Wl2R6JHhLCIZcMw9gf9tAxlR2H\nCzqrIZcA8PDD8Gx+B7Zmfgd0rAts20a71hdeKLfxGD10ISEV66G7dMmugq6MRUCZYnj2WUePQMnL\nLwOzZlFOpk4HtG5N7eZSUylyuHVrR4+QYdTx8aEQ4QcfVN6v11PVy6Qk23sUhYSwh45hGPvj5QXE\nxrKgYyovDg251OmKCLkEgDp1EDNqJpbXew24+24q55iYWK4V+oxFUaq4oGNqFoMGkVf21i3y0Lm6\nAo0bA2fPUm2fsDBHj5Bh1PHzo3PXHKnvU2IihVLawpgxpt6mDMMw9kKv55BLpnJTFg+dB4BVAIIA\npAN4CECiyvOCAOwB0AJAnvwBvd4y5FKjUfahOzH4BURfA2a8ng8sXkylq8uxRI7RQxcYSLvj27fL\nrZShhaDjRs9MKdFo6JSNjSVBB1BI8fXr5KGrU8ex42OYolCrGif30Nkq6CZPtu+4GIZhAPLQxcWR\noZRhKiNlUUZTAPwHoCeArwHMU3lOPwC/AwhWewEvL6WHLjWVrLVyQWcUPS4uwEsvUcO0csQo6Jyc\nqPJFoppGtQ/soWPsSUAAebela6p2bRJ07KFjqiJeXiUPuWQYhikP9HoqdVC3rqNHwjDqlEXQdQOw\nxfD3FgB9VJ5TAKA3gFtqL6DXW+bQSZtSAPjwQ2DcuIpNcjcWRQHKNexSCNqsGPM97NiDjqmZSJte\nuYfu0iUyHHD7CqaqURoPHcMwTHng5UWtgSIjHT0ShlHHVkH3CIBjZj8+ANIMj6cbbpuzHUCytRd9\n6y2gXTv6282Ncuj8/U0eugMH6HdFCjpjDh1QroIuK4vey9kZpiZi/v7l8l5MzUDa9MoF3YED9Jsb\neTJVDb2ePMwuLspedQzDMBWNZHzn6uFMZcXW5LDlhh85PwOQ/Et6ACklffPdu+dj9276OzGxF1JS\neiEwkFrNAaYIxIr20JW3oMvNpZL3Rk+gFG6plkjCMDZi7qGrXRvYvbtytVdgGFvR66k9J3vnGIZx\nNF6Gtj8s6Bh7EB0djejoaLu+ZlmqfewBcC+AAwAGANhV0heYP3++8e+pU2nxrl/f5KGTfoeElGGU\nJcTFRSboatcGrl2z+3vs2UM/Rjh/jrEDAQGm/l0Aeeby8oAuXRw7LoYpDV5etCZw/hzDMI6GPXSM\nPenVqxd69eplvL1gwYIyv2ZZArE+AdAcwF8AJgOQRjMdwGCz54riXkwqiuLtTfll+fmUS/fee8Aj\nj5RhlCXExYXeGwBlv8bG2v09tmwB5swBzpwx3MGCjrEDgYEm7xxAgg5gQcdUTdhDxzBMZcHLi/ap\noaGOHgnDqFMWQZcNYCSAHqCCKAmG+5cA2Gj23CiYtSwwRyqK4uFBhVIyM+nH27ti839cXKhTAQCq\n9X71qt3fY8cO4N57gUaNDHewoGPsQGCgskdOSAgtPh06OG5MDFNaWNAxDFNZqFMHmDKF89GZykul\nOTVdXakan4cHRTrGxZGgk/rUVRTOzjIPXZ065eKhi42l0FIjFy5whUumzAQEKD10Li4UMVzR1xDD\n2AO9nuZKDnFiGMbR6PUUMcYwlZVKI+jc3Oi3uzt5rs6ccYygswi5tLOHTggqaqkoaHn2LHerZMpM\ncLDl9cJ1dpiqipSzIlVCZhiGYRhGnUoj6KRQMUnQnT3rOA+dMeQyOJjUl7EcZdmRwkpdXQ135OaS\nG4WbmzBlpG1b4KefHD0KhrEPUlU5FnQMwzAMUzSVRtBNmAD4+JCGcqSgkzx0QoDKBUrxn3bCoknu\nhQsUU+TiYrf3YGomWq0sL5Nhqjh6PeDnx+nFDMMwDFMclUbQ+fpSY/GxY02CLiur4gWdVks/hYWG\nO+ycR2ch6M6c4V04wzCMGU2aAP/7H4cNMwzDMExxlKUPXbnRsCFw/jzl1cmr9lUUUmEUJyfYPY8u\nKcmsrxLnzzEMw1gQHg7YoTUPwzAMw1R7Ko2HTk5ICAmf1FTHVOhTFEaxc+sCCw/d2bPsoWMYhmEY\nhmEYplRUSkHn5EReLEcJOkVhFDs3F2dBxzAMwzAMwzCMvaiUgg6ghsgajbKvVkXBHjqGYRiGYRiG\nYaoClVbQ1apF+XOOSIh3cSk/D11iokzQpaRQ5Zdatez2+gzDMAzDMAzD1BwqraALDXVMuCVgKooC\nwO4euuRkmaCTvHNcxo1hGIZhGIZhmFJQaQVdrVqOE3SKkEs7NRdPTaXf6emAt7fhzuPHgaZNy/S6\nDMMwDMMwDMPUXCqtoAsNdUzLAsAs5NIOzcXXrKE+ewCQnS3LC9y1C+jevUxjZRiGYRiGYRim5lJp\nBZ0jPXSKkEugTM3FDxwA1q413c7Kkgm6nTuBO+8s9TgZhmEYhmEYhqnZVMrG4gDQpg0wYIBj3lsR\ncgmUqbn4wIHAzZum29nZBs/jlStAZibQpEmZxsowDMMwDMMwTM13UjiLAAAQNElEQVSl0nro6tcH\n5s93zHsr+tABpS6MkpNDRVCcnU11T4whl+vXk9rjgigMwzAMwzAMw5SSSivoHImqh84s5PLGDaqT\n8t13wMyZ6q9z7RppwbQ0ui2ELOTyhx+AkSPLZfwMwzAMwzAMw9QMWNCpoCiKAqh66Fq3pmjJa9fo\nR424OCAsjAScmxt557KzAc/sRKpw2bt3+R0EwzAMwzAMwzDVnkqbQ+dILIqiqHjo4uPpd2Ymed3U\nuHqVtCAAeHkBGRkGQXdkN9C1K+Dqav/BMwzDMAzDMAxTY2BBp4JqyOWVK8abBQWU+qbRUDhldrbl\na2RkABcvmgSdpyfdl5MDuO7bBfToUb4HwTAMwzAMwzBMtYdDLlWwKIoSEkIKLykJAHnkdDoSaTdv\nqnvonnsOeOklpYcuMZFCLzXRf7KgYxiGYRiGYRimzLCgU8HCQ6fRUMLc6dMAKMzS05N+EhLUBd32\n7YC7u9JDd/Mm0Nb1OFVU6dKl/A+EYRiGYRiGYZhqDQs6FSwEHWBV0Kl56GJiKBTzyBFg6FC6T/LQ\nPVTwJTBxIrkBGYZhGIZhGIZhygCrChUsQi4BVUGn1ZKHzslJ+dRdu4A77wQaNTLdJ4m/+/N+BR74\nvnwPgGEYhmEYhmGYGgF76FSw6qE7dQqA9ZDLW7fo98GDQKdOyn/39chF7sU4+BcmAnfcUb4HwDAM\nwzAMwzBMjYAFnQoWfegAoEEDKlsJpaDLyTEJuvbtqffcoUNAu3ay/926FR9uCEfj/d/gsPdd5Npj\nGIZhGIZhGIYpI6wsVLDoQwcA9eoBly4BQhgFnZcXPST30N24Afz7L9Cmjex/P/wQafow3HP0LWyp\nM7kiDoFhGIZhGIZhmBoA59CpoBpy6eUF6PVAfDwyM2vB09OUO1dQQM/PzgYOHACCgwE/PwBvvw18\n8gkAYPnDR/F7tCt8Al0q9FgYhmEYhmEYhqm+sIdOBdWiKAAQFQVcvKgIuZTIzKTwy6NHyZmHP/8E\n3n8fWLcOOH8ebv6euJHsAg+PijoKhmEYhmEYhmGqOyzoVFD10AHGsEtzQefmZiqIcu4cEBQE4I03\ngMWLqQCKRmOscsmCjmEYhmEYhmEYe8GCTgXVoiiAVQ9dYCCQnEx/nzsHROoSgH37gGHDjP/q5UW9\n6XS68h8/wzAMwzAMwzA1AxZ0KqgWRQFUPXTOzoCvr0nQXbkC9Ij/ERg4UBGT2awZ/WYPHcMwDMMw\nDMMw9oIFnQpWQy6joiwEnU5HIi0piZ4iBNDm9GpgzBjFv7ZvT78TE8t37AzDMAzDMAzD1BxY0Klg\ntShKvXoWIZeSqJM8dO1wEH43zwL33KP4V6kiZkxM+Y6dYRiGYRiGYZiaQ2naFngAWAUgCEA6gIcA\nmPudpgMYZfh7M4CFpR2gI7DqoatbF7hxAzlpefD0dIWzs1LQ1UUMfsMAnH/2E7RwsWxPEBNDYpFh\nGIZhGIZhGMYelMZDNwXAfwB6AvgawDyzx6MAjAHQBUBnAPcAaFmGMVY4aoIuJwf474QzEBYGz8Qr\nCu+cJOgWYD4+w+MQw0eovm7dukCtWhVwAAzDMAzDMAzD1AhKI+i6Adhi+HsLgD5mj8cA6AdAGG67\nAMgu1egchFrI5a5dwNNPA4iKgk/yJXh6At7e9OPhASQnFmKk5ge8h2kIDHTIsBmGYRiGYRiGqWEU\nJ+geAXDM7McHQJrh8XTDbTm3ASQD0AB4G8BhAOftNN4KQc1Dl5kJZGQAiIqCX/IF+PoCXbsCq1aR\nh87p6hVkOPsiCYEs6BiGYRiGYRiGqRCKy+habviR8zMAveFvPYAUlf9zB/AlgFQAT1p78fnz5xv/\n7tWrF3r16lXMcCoGtT50WVkGQdesGWqvOYHAQCp0EhFBoZfauBOI822OIV3o/xmGYRiGYRiGYeRE\nR0cjOjrarq9ZmhIdewDcC+AAgAEAdpk9rgHwC4AdAN4s6oXkgq4yodaHzijoWrRA/ax1Ci+cnx/g\nknACN0Kb45dfKnSoDMMwDMMwDMNUEcydWAsWLCjza5ZG0H0CYCWAvwDkggqgAFTZ8jwAJ1DBFBeQ\n4AOA2QD2lWmkFYhayGVWFpCeDmQ3aImmhcfhqRMg7Qr4+wO+qSeQ0PLOih8swzAMwzAMwzA1ltII\numwAI1XuXyL726N0w6kcqBVFycqiPLpEpxB4aJ2gib8O1K4NAAj0vY0eYgdWhr/ggNEyDMMwDMMw\nDFNT4cbiKljz0AHUS+6iRwvg2DHjY40ubkEs6iI1rFkFjpJhGIZhGIZhmJoOCzoV3NyAbLNGC5Kg\nu3wZiPVrqRB0kX99gxWYCI8q7ZdkGIZhGIZhGKaqwYJOhWbNgOPHASFM98kFXUJIS3qC4QGffVvw\nM4bD3b3Ch8owDMMwDMMwTA2GBZ0KdeqQmIuLM90nF3Rp4TIP3ebNKGzfEUkIZA8dwzAMwzAMwzAV\nCgs6FTQaoH174MAB031yQZfXoBlw6hRQUAD8+COcRo+EVgsWdAzDMAzDMAzDVCgs6KzQrh1w+LDp\ndlYWCb1LlwB9bT3QtCnw00/Ali3QDh8GPz9wyCXz//buNsbSs67j+HeWrn3YbKGw3c6alDSpS0Og\naHyIGgJdcTFaMRGCsSVEMfhQYiShL5pIGinERIjRqAmiRo2URKOmiiBuY0AmtAUKJkLxhTGVgCa2\nwRKwtcuWLqwvrjOd2WVntju7nXOfnc8nOZn7nPvMzH+T/5xzfntd130BAMC2Eug2sLxcjzyydv/o\n0Xre8+rzn69rrqne+tZ6/evrVa+qfft67nON0AEAANtrK/vQ7Qh79qxNs6xxvH//CHkHD1YvfHUd\nOVKveEU1wp5ABwAAbCcjdBu47LKxkfiqxx8fgW5pqa69ttq1qw4fHl+rm2+uF71oPrUCAAA7kxG6\nDezZc3KgWx2hu/rq06+Ve/Obt682AACAMkK3odMFuquumk23BAAAmAAjdBs4XaA7eNCVLAEAgOkQ\n6DawPtCdODEC3S231O7d860LAABglSmXG1gf6J58clwMRZgDAACmRKDbwPpAd/TouA8AADAlAt0G\n1m9bcPSotXMAAMD0CHQbuOSSOn583I4ds2k4AAAwPQLdBpaWxijd0aP1xBNG6AAAgOkR6Daxuo7u\n2LG6+OJ5VwMAAHAygW4T6wOdEToAAGBqBLpNrAY6Uy4BAIApEug2sXqlSyN0AADAFAl0m7CGDgAA\nmDKBbhPW0AEAAFN20bwLmLLVQHf8uEAHAABMj0C3ib1767HHxp50Ah0AADA1plxuYv/++tKXrKED\nAACmSaDbxPJyPfywNXQAAMA0CXSbOHBgBDr70AEAAFMk0G3CCB0AADBlAt0mlpfroYesoQMAAKZJ\noNuEEToAAGDKBLpN7NlTu3ePK10KdAAAwNQIdGewvFxf+IJABwAATM9WAt2l1V3Vx6oPVftO85xf\nrj5V3V/91Jarm4DVQGcNHQAAMDVbCXRvqj5bvby6s7r9lPP7qluqH6x+uPqtcylw3paX68tfNkIH\nAABMz1YC3Uuru2fHd1eHTzn/SPWd1TeqA9WxLVc3AQcOjK8CHQAAMDVnCnRvrD53yu3Z1aOz84/N\n7p/qm41pl5+o3ndeKp2T5eXx1ZRLAABgai46w/k/md3Wu6vaOzveW311g+99d/VH1ZHqnmrl1Cfc\ncccdTx0fOnSoQ4cOnaGc7bca6IzQAQAA52JlZaWVlZXz+jOXtvA9tzaC3Nurm6qXNUbjVl1X/Ub1\nmtnP//vqnY1Qt96JEydObOHXb68jR+rGG+uBB+r66+ddDQAAcKFYWlqqrWWyp5xphO503lO9txHQ\nnqheN3v8LdWD1QerzzSmW56o/qFvDXMLwxo6AABgqs4pDZ6jhRihe/jhEeq++MV6/vPnXQ0AAHCh\nOB8jdDYWP4Mrr6xdu4zQAQAA0yPQncGznlXveEddccW8KwEAADiZKZcAAABzYMolAADADibQAQAA\nLCiBDgAAYEEJdAAAAAtKoAMAAFhQAh0AAMCCEugAAAAWlEAHAACwoAQ6AACABSXQAQAALCiBDgAA\nYEEJdAAAAAtKoAMAAFhQAh0AAMCCEugAAAAWlEAHAACwoAQ6AACABSXQAQAALCiBDgAAYEEJdAAA\nAAtKoAMAAFhQAh0AAMCCEugAAAAWlEAHAACwoAQ6AACABSXQAQAALCiBDgAAYEEJdAAAAAtKoAMA\nAFhQAh0AAMCCEugAAAAW1FYC3aXVXdXHqg9V+zb52UeqX9paaTAfKysr8y4BNqQ/mSq9yZTpTy5k\nWwl0b6o+W728urO6fYPn/Xr1nOrE1kqD+fCiz5TpT6ZKbzJl+pML2VYC3Uuru2fHd1eHT/Oc11bf\nmJ1f2lppAAAAbOZMge6N1edOuT27enR2/rHZ/fVeXN1c/VrCHAAAwDNmK4Hrruqd1acbYe7e6vp1\n599V3VB9rbqm+nr1K9U/nvJzHqyu3cLvBwAAuBD8R/Ud2/1Lb63eNju+qXr3Js99W/WLz3hFAAAA\nO9BFW/ie91Tvre6pnqheN3v8LY1Rtw+en9IAAAAAAACA82JX9QfVx6uPZh0d22939b7GXor3Vz/R\nmLt87+yx329tfekvNNaLfqL68W2vlJ1sf/Vf1QvSn0zHrzbevz9d/Wx6k+nYVf1pa/14XfqT+fv+\nRt6ps+vHp7vv99y8pvEHV+Mf+f451sLO9Ibqt2fHV1T/Wf1dY2/FGtOKf7Jarh5oBMDLZ8fftp2F\nsmPtrv62+rfGh5IPpD+Zv0ONXqzaU709r51Mx49Wfzk7Ptz4MKw/mafbGv318dn9s3kvv7WxY0DV\nT1e/s9kv2so+dOdq/T5291ffO4ca2Nn+urU/kl3Vk9V3N/4XpOpI483g+6r7ZucfbawRfcm2VspO\n9ZuNF/uHZvf1J1PwI43ti97fWC//gep70ptMw9caV19fmn39evqT+XqwMZC1OhJ3Nu/lT2ff76fM\nI9Bd3to+djU2IJ9HHexcj1f/V+1thLvbO7kHV/dXvLz639M8Ds+kN1T/09pWL0udvMWM/mRermx8\nQH5tdUv15+lNpuO+6pLGzIY/rH4v/cl8/U11fN39s+nH9XnpjD06jyD1aOOD9PoavjmHOtjZrq7+\nqbqz+otO7sHLq6/2rb26t/rKdhXIjvVz1Ssbc+6/q3FV4SvXndefzMsjjf9oOF79e3Wskz9k6E3m\n6bZGqLuu8dp5Z2Ma2yr9ybw93c+apz6++tiG5hHo7qtunB3/QGOuKGynqxofSm6r/mz22L9UN8yO\nf6wxJP6p6mXVxY0PLS+s/nU7C2VHuqGxVumHqs9UP9OYbqE/mbd7G+uUqr69uqz6SHqTadjT2ojG\nVxpbc3lvZ0rOph/X56XV507KUmNtyH2z2wvmWw470O9W/90YAVm9vaRaaSxc/ePWhsV/vvHH9s/V\nq7e7UHa8jzZeIw+mP5mGd7XWc69MbzIdz2lcTOqe6pPVTelP5u+a1i6Kcjb9eGn1V41+/nDjytcA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAPP0/WgO2LZVK23oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872951f190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -5.193435\n",
      "p-value                          0.000009\n",
      "#Lags Used                       0.000000\n",
      "Number of Observations Used    955.000000\n",
      "Critical Value (5%)             -2.864571\n",
      "Critical Value (1%)             -3.437216\n",
      "Critical Value (10%)            -2.568384\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_ewma_diff = ts_log - expwighted_avg\n",
    "test_stationarity(ts_log_ewma_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eliminating Trend and Seasonality"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Differencing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f87294b0dd0>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jbOYKYs6GWSbN1GczNeZjelrPicplGzDrysVNgGL3mbNibjayWRYTZikSFHNY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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f872ad925d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Take first difference:\n",
    "ts_log_diff = ts_log - ts_log.shift()\n",
    "plt.plot(ts_log_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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O6dQEEinm50xfxLFDlTkREYkG5jaE1knBUZiLY2qzlEhRZS72mN8P+p2JiEhl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\nqSX/HxSQwta1QzM/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f87294ee2d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                 -30.458521\n",
      "p-value                          0.000000\n",
      "#Lags Used                       0.000000\n",
      "Number of Observations Used    954.000000\n",
      "Critical Value (5%)             -2.864574\n",
      "Critical Value (1%)             -3.437223\n",
      "Critical Value (10%)            -2.568386\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_diff.dropna(inplace=True)\n",
    "test_stationarity(ts_log_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decomposition:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ImportError",
     "evalue": "No module named tsa",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mImportError\u001b[0m                               Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-31-eab9d442c0f7>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mstatsmodels\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mapi\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtsa\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mseasonal_decompose\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m \u001b[0mdecomposition\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mseasonal_decompose\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mts_log\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mtrend\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdecomposition\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtrend\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mseasonal\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdecomposition\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mseasonal\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mImportError\u001b[0m: No module named tsa"
     ]
    }
   ],
   "source": [
    "from statsmodels.api.tsa import seasonal_decompose\n",
    "decomposition = seasonal_decompose(ts_log)\n",
    "\n",
    "trend = decomposition.trend\n",
    "seasonal = decomposition.seasonal\n",
    "residual = decomposition.resid\n",
    "\n",
    "plt.subplot(411)\n",
    "plt.plot(ts_log, label='Original')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(412)\n",
    "plt.plot(trend, label='Trend')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(413)\n",
    "plt.plot(seasonal,label='Seasonality')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(414)\n",
    "plt.plot(residual, label='Residuals')\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'residual' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-30-9b46f337041f>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mts_log_decompose\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mresidual\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m \u001b[0mts_log_decompose\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdropna\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0minplace\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[0mtest_stationarity\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mts_log_decompose\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'residual' is not defined"
     ]
    }
   ],
   "source": [
    "ts_log_decompose = residual\n",
    "ts_log_decompose.dropna(inplace=True)\n",
    "test_stationarity(ts_log_decompose)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final Forecasting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ACF & PACF Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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AAMBLdI4AABBNJDAAAECkMDwVAIBoCkQCgyADAAB4hc4RAACiyfcEBmWeAADASyQwAACI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\n7+9NZ/lYTHrssUItWND49e+6a75OOql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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f962599c950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ACF and PACF plots:\n",
    "from statsmodels.tsa.stattools import acf, pacf  \n",
    "\n",
    "lag_acf = acf(ts_log_diff, nlags=20)\n",
    "lag_pacf = pacf(ts_log_diff, nlags=20, method='ols')\n",
    "\n",
    "#Plot ACF:    \n",
    "plt.subplot(121)    \n",
    "plt.plot(lag_acf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Autocorrelation Function')\n",
    "\n",
    "#Plot PACF:\n",
    "plt.subplot(122)\n",
    "plt.plot(lag_pacf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Partial Autocorrelation Function')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AR Model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f96258b2c90>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MkvgFnbnaQ58PvGaEEEImEx0I5oBwcVDM1TEMsyR+QTFXe7DxJIQQUg2wPSoNirk6phBn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\nMaeYcz+w+/uda+YVGmbpFnOtrc5r29p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KqaCIRs1AorZFmbjzTme/bHg4e5ilfkevj70U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\nx8bvIV8n0xqWu2L6z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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f962430ef90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#MA model:\n",
    "model = ARIMA(ts_log, order=(2, 1, 0))  \n",
    "results_AR = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_AR.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_AR.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MA Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9624677cd0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rry9PPR0ZKSzpUrnDLEvtzK1cWfrpHclkdYVZ2gNkdOaKoyLEnHYm9CJec03q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\nwFxtrTAB9kRSJzD32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gvrj5w+nR/MldXmMXN127MndgvUVgZz8RXJzGlzmp11zJykfN2u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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9624792650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(0, 1, 2))  \n",
    "results_MA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_MA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_MA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ARIMA Model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f96242a9a90>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XRyYdIZSJmItEgCOOSL/90Hstl1DLn/wkdVRFKjJpq5xk4szpd9M5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\nbail3qPm73t75bymEnN33WWNpDrF3OC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+2e7M6cDlggXxYk473YnE3CWXxIfXDQ66J0Bp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52fzNlspg0WiXth4b+ThoPxoe+8Y9pyTjJ3Bmre6w1wz7Vu/e+EyG3aBPyJxTtq+cOYGJPYtGlj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\nzE1Oyn2iz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q4yu8mubvu1Y7thlmedJTewvo9SSQYnu8qP3YF9Yk4LoLjVvOz3YLfNzpnz\nEQqzPPNMM0l2xdyZZ8oNFUp0Vuwwy/FxKZZhi0k7dltzPOy266DqOnNavlon9ZVK/eR/YEDav2iR\nKbJy+eXyOy3eoBNWDavxiTltb7VqKl7pPnNZEx2d5GqYpXvs+Xm5jpOTMsCOj5u9iNSZ04qXO3ak\nD166N47Pmdu8WZKI08jjzC1bZiYtQLYzp9UwY505PV+IRsXcf/6nrN7qZqiPPipObZozZ+fM7duX\ndOaAuJy5ZsSc7UDqce6/Xzb2BYBPf9rvzMVMwgGp9qZ7mCm/9Vum+Mby5XIOzTXUzdSHh0XM9fcn\n8z4OHJAQRl20cgug6GJUWqEcXTCzr5sex3XmmhVzrjMHpDtn+ruxMZNnaZMm5jZvBl796ubFXK3m\nd+ZqNeAf/1GusU/MrVgh45kuXtliTj+P446Tha9KpbGcuXPOkQWGRskSc4DZEy3k3pVKkkd57rky\n0bXL4yu2YFN0Wwh70VHFXKkkRZ5iF0lcMVepyNYwupiUhuvMxaA53+6zevFi4JvfFGGr533Pe8ym\n4VkMDppN3n00Kubs+03FRZpbrc8be7L/0EPyfdrCn02aM6eF5lpVACWGz32ufnFd26PnUPbuNa/V\nokW26Au1eXBQ5l1aHMXeGFzff6kkP/M5XboFxexsPmfOF2a5bJmpX+DLi52cNO/x6qv9zj1gxD+d\nuTbhq2YZWwDFRifhITGnHX3z5vrQJ7c9ac6cdsS0nDn3uDoYpIVZ2ht164RUQ0/d6j/60LDFnN3B\n7TYqWQVQQs5cXjFnv393tW9yEvj85yX8Iw3bmZuYkG0m7AeUtk0FvJaHV+yy5YpW2LTFnG8Fp78/\nmWBs3/g+Zy4UZqlJxxq2oq6UHbMewg2ztLn8cqn8NToqg9PixcmBXZ05m7SHe7ksicr2HjHKunXJ\nIkI+Fi0yG42H3ov2tzVrgL/+a/M7XZBIexir65VFjJjTyXBeMQdIGI46c9u3i5hW51VXZlXMVSrW\nxumeMEsg25m75JL0FVq9R0Ji7sorTYELPdemTSJC3/9+WXGfmTH9vFyWsdHOIcqLFm+w0RXr3btN\nuHStJjmyduiZLlqp4NLVcF0UsveJctH376tMajtzbpgl0DpnDogTc9qH8oi5DRuAD3ygeTH3ylfK\nPx/2fnSAv3+WShKqrYtY9n6kp58OfPazjRdAiRU7IdQVTMPe4DpEqSQ57p//vP/3vr3MAHkG2EIv\nzYlLY/FifwhdjJiz0yfyMD1d/6zWNmjaBCCLN27hskZZtiw7QsfGJ+YGB+U6+4qB2Bw6ZPYbrVRM\njlwsoZw526lqVQGUZvA5c3afccMss7j5ZvP3q1ebiqv22LB4cXh+oePtxITc4/Y+uEBy/qj4wiwv\nuMDMG3zO3Nq1sg8kIIuBvuJAgAkpPtrFXIu6U3581SxtZ+7yy+MqjbnOnDvB1g60cWN2mGWaM+cT\nc1nOnL3KHLqR7Emvtkvj++2OXavJDTY/HxZzWWGWvgIoaTlzofZmiTm9DrZLcd55/uPZqIu2Z49/\ngMxy5rQvuEn8MzPJrQk2b64/tu3M6d8pQ0NybDdnzn3IumLOdubm5+PDLH3O3J/+qXy97z4ZSD/7\nWTnHgw/Kz9Vl0xDUgwezH+5btohr08iEanhYNrUNYTtzLiMj0sY0MWcXuEgjjzNn50vGirl168xE\nfOfOZC6L7cyNjNRv42GPNfpes97T1Ven/17HI1+pdEAKf3z606YN9t9dfTXwl38p70UnJOWyiHKN\nAGgV6swByYngu98N/Ou/SvVAoD5SwhdmCaQ7c+7WBPZxNDRWaZUzZ//95GQ4N0pzzvT1bj/t75fP\nK01sNCvmPvSh7NekiTnA5BaVSn4BpREwMWOJijnfante0vLllBgxl4XPmQOMmHPzifJyxhn+nCnN\nt06jkTBLQHL7dY5VqSQFqy3mWsl732tC+GLwhVkC8twLFU5RtPYCIO/r7rvjninKwICZJ9nPCv2M\nd+1KzhnS0NBCjTaYmcnXlqxjA+HnrS5exoo5m9/4DcnD/8Qnku2dnAz3NxVVY2PGwdTtZPSZGXLm\n7Hv5wgvFtf/+9/1iLhaKuTbjq2ZpO3PvfGfccewCKPv31ztzatPqBtyhMMssZ047mTqI+nt3awIb\nXdlJW4H0OXNuRUpA3I2bb5aQpmeekXCmp5/OFnPqzNmCUgugzM3JwGpb2xpSGlo1snPm9NqEzm/n\nD8VQrZpwRN/f2M5ctepf6R4drXfmZmeTzty//Ev9sbUfhcScXTxleFiq4LnnftObTN/QyY1d/CM2\nzFJzjHycdpr5d/fdUk1M218qST9Zvlw2do3NX2l0kEzDXqRw0euRtqKpA38WMWLuta8Vt6uvz1Sb\nzevM7d4t4lzHFxVzo6MiTHTvHbv9vjDLVjzAbdfXRyhSQEXp3r1GzGVNhBtF8xnK5aSYu/xyGXtU\ncL74YljM6cTHfk/uOfQY7kr3wIC814MHk/2sVc6cPZH57nfT9+UbHU3m2Llce236Oe1c33aRZ6wO\nhUk99lhyL8sQrXTmYsTc2FjzYi7WmWtUzJVK/slmu8IsAVOhVY9hO4NagKzV5B3/fM4cEO/u2WJO\nHaZYtKgNUP+s6OuTYk4f/WicI2qHso+OysJgO505G7tISCP45rcrV4b7+nHHmXtiZia5qK9izm2L\nXgvbUOnvl6iSH/3IX80ylqkps3H70UzhOXN2NUt15tImZi5Z1SyXLk2KgLw5c5rg7oYw6lYGKkSB\nsDOX1hHHxswgajtzvso9V1xhwiz1oZkVZplWAMV15QAjlEIPSDvM0n1AumLOvoljqFSSe/W42FUO\nfc4cIAOl68ypmEsbDKan5ZqOj9c/WN0wSy0jrAnzyoYNyU2U7TBL/VkaaWGWLiedlBxMte/cd58U\nFLD3LErDF/LQCjSszodej1Y4c/qgShsz1qwx8fTLlkn/UvcydI5FiyTE5MQTpb3PPSfttZ22/n6z\nKfHUVP3Cii/MstlJJWD6VqjtMWLODrNsB/rArlTqQ7TsdruREgMDybDJtDBLV8y5ztyuXfUT0ulp\nec/NOHNatVZJm8xVq0lnrpEJXLPOXAxZzpyNr4DByEhcXjBgnvvNTNDstsTmzDVDljPXrJgLkSfM\nsplxvFJJtv3lL09u3l4UdsXVRtBr00g/C+XMAaYQSZpD5bZDP5/R0fotlJpB791QH9f2NXqv+ea3\nf/7npgq5i4q5gQFTBV7/XhdpQ31Vt6qxz63VyJtx5mLnQ71MoTlzbpil5qDleeBpyN3srBzHfbC+\n610m7lm3GPBN/NSZu+ceWWEEjLD0iTm7vVlhlmnhJMcdJw6LtgHwO3P2MZ95xljZsQVQ3DDLmRng\nwx+uvxa2Uxg6vwoAt416LFfM5XHmnnmmXpC7x08Tc+4q7PCwTHx1X7AQGzcCf/u3pky6T8yNjYUf\n6i5TU+aauxsMh1i0SFb7fGGWPvS44+PmvQ0Py+Q5Nn+iXWLuPe8J71UWI+ZamTNnc999Iu6yclnL\nZRkHNFd1fj4ZTqNiTleIQ2IubzXLGOyFAh8hMVetynvetaszYk4nMO4qut3uublkOwcHZfyzi04B\njRVA2bWrfkV/YED262o05GZ6Om5vOsXOmQOODjHnc+bGx6XKcmw0gL2ZcDP4hKVLK8RcyJn7yEdk\n8/dmc+ZCxDpz7gJDXlxnbnpa9t8tmpAzF4s7F8n7t76cOaB+c/Us2u3M2SHpLr4CKXmPD9QXlgud\n7/jjkxFS9jxQn+uhtrRLzB3tIZZAFzhzoZy5WHRir66cT31rp8ty5ubmJDfpa1+Tn/ly5mxRF5sz\nl+W0hHLmfAwMyEPzmGPk/7Fhlu4+cz/+sYg5N349j5jLcub0OLGfp1ZnzHLmVMDPzNRP4kPOXEw4\njrJoUb2Y06plsZv2Tk2ZalexYZavex3wN38jfTlmtU+Pu3x58jpoSfMYTjhBKsq1munpcC6BtrtT\nOXM2Y2MmN1HzsrLo65PzpIm5ycn6e9FeQChCzLnn0mq427ZJe2yx1GpinTmg3pnTPAsgO8xS90fz\nOXP79/sf4ps25X8/SqViNt2O4bzzJGVgIYi5PM6c5nw22/98bXEZH2/+vgst4m3YIM8rnUyHFiIb\n5fzz66vHuqSVZY/Fdea6Bc3R7zZnTvfTzNMOfT6MjYkz10oxl/b+mg2zDD1PQqxbJ2kergFi58x1\n0plbsSIur7HXKTxnTqtZujlzsaiYA7JL3sZsTaB7vAFGzOmAosfQxFqt1BPq7Jprp2Ii5r0MDSWt\naZfBQXloaohfbJilnTOnYamAWXmy25z2YLBz5kJizlcAJYYNGyS0rRlnzs2ZGxxMHzx8uGLOroSo\nIjqLUkmKoeQJs3zFK0Son39+3AqvLebs67BkSbyYe9nLsve3aTWxYZbtcOYA+Wz6+2XRJPYBNTLi\nF3Oag+U6c3pcfQ+xBVBiiBVzvmsyMiJ7AOmiR7udOZ+YC40b+ne2mMuqZrlkiX8vT/2+3SIoi5Ur\n5d+OHfL/bhVzGtIaK+bcsWx8PLyFhEt/vyzEtSIioFqtT49waVXOXNoxBgfF2Wr1/fTSl5pNrkNU\nKs3voeU6c93Exz7WuNBs1pk7eFD6tSvmPvjB/A59O8MsY8Rco2JIixXmae8xx5j7shlnrlptXsyt\nXQt861uN/W0vUZiY84VZZu3J5qO/XyZZV10lblPWa7PCLH1izn3IqUCYnU0Xc/ozOwk0jb4+ufFC\nglOPt3OnKQmf5cwBUmxgZiYZZhlCQwpDqDO3bJmUjrVptgBKuSybfWrRGhc7Z65ajRNzgDyI80wc\njj8+WXL/fe9rbOBdtSq5p1dWG/r6gC9/WfLhYlxEW8zNzJifb94M/PZv529vp2hlzlzMpuGh47/w\nQvNiLs2ZA+rDLFuVM6eVUn0MDiaLNtnYOSgDA+3LIzjhBBMunseZGxyUcVVfkxZmefrpshXDnXf6\nC6AA3RNe04wzNzramYm2Wwk47XXu55Gnf6uYa0XhpRgx16qcubT2Ll0q+9QVQbXavJh7wxuSz5Bu\nQvewbAT9zBr5/DV/9/Dh+iiGvr7sfXNtJiaSxbN27mzd2ORbWLdpVszpOfLOgTRUvlXOXDOLP926\nUNFKCnfm7GqWWmI6b87c4CBw663ZJW9jCqComJufN5UefWLOzZkLTZ4GBmTiFdMR1RXLEnO7dokT\n4CaS+sTc1q3m+5j9aNatA77+9fDv1aWcmAA+85n639nnz+vMAVIK1956wUYnfXaYpS9nzp3Yh/Id\nQtx+e/L/WSWQQ6xaJXvbxIZZAlKlMhY97ooVUvFJGRmRSW63ohPbtGqW7cqZU1oh5g4fNg/0TZuS\n44+98KB/r+dtlmpVypWnibnQtdM933RBql3OnIaGffKTzTlzaWJuwwZ53e23y2dpT2i7xZlTmhFz\nN9/cmUpszYg5nagW4cwdOpT+mlblzKUdY8kS4ItfbO4cjbJ6ddzWP2loQY+jDQ1vbGTRSg2GtEJZ\nsdx4oxnLRkclNz7P5ulprF4tC84hmg2zBMIVxrMYHGxNzlwriiUd7RSeM2dvGn7ffTIJzTMx04kJ\nkH3DxmxNoGJOV2NKpbCYs7cmCHX0gQF5TWyYZa1WX67bfb9zczIgvPvdyQmmL8zynntkPzEgKa7S\nbsy0kIY0xyRUACXPBGbpUlMR0iW2mqXPmStiINAwy1YMpj5GRkyuQ6vi7ztBbM5ct4u5gQHjzG3e\nDNxwQ/L4gHkP5XJ9PmejxIRZhs4zMmKu+5vf3LoJRYgbbjDjj6Jt0/E6LWfOHVNctEjB7Gxypfto\ncubGxzszfuURc74wSyC+AEorxVzWcRYvbj6n7BWvECe4G1m+HPiTPym6Fd3J8DBw772N/a06c60Q\nc/YccXQUePjhfJunp1Gtpm/lVanIWNvMGNKomFOzRb9XMRe6Z900lkpFhFwriiUd7XRFmKW6W48/\nLg/lPA+8W26RlYkYYp05zYXTiUSamFNXMdTR88Rsf/CDshn0/fenO3OATA5uuqn+/bnnOussWcH+\nzneSE6KhIbOHSh7sm9PFzZnLG2aZhZszt3u3X8zt3Zv8WVETulWrgO99T/qW7lXXSkZHpa/88z/n\nFzNF0o4wy06LuXXrJFRGXSd3suiGWQKyn1grqt1Vq9L308acNGdOr/vv/37zbcniDW+o/5kdhm3v\nxQcYMRcTZqnHOtrFXKeIFXO+gguNOHN5wtRC1Gom/zvEuefK/doMF1/c3N+T4mi04FErnTmb0VGJ\nPlq1qnXHTKNUiisUlEat1pi7bTtzKuQ0n9rFtyVXpSJjBcVcNoWHWb7wgnHmZmfN72I54YT416Zt\nTaDVLG1nzp6Q+XLm7DDLNGeuvz9usrlhg0z27P2pfMcD/OFDoZw5LZZi3wx6cz/7bHa73PNniblm\nnLk03Jy5J5+sv66XXZbcvBmQCV1WXkU72LDBVL/Mm7cXy/r1smlxszkTnaRSkYqxaQ/I2DDLwUHj\nnudhYCB9rzYXV8z90i+Z76+/vt7hcsMsAQmXawWVioyVoclwlpgrOvTQFXNuzpztOmaJOX3Y28cF\njq4wy04RK+be+tb6BdRGxFyrcubcIl6+88Uu+BKi2M5cK+9bXUzrlJgDml9Mvv122XM1L3mcudDP\nduygmIuhcDFnV7PUCfdzz7XnnGnOnIZZahl/e/Nyn5jTYxw8mC3m8txEfX0ygIRcC70xfJMUX5gl\n4Bdzb3kL8MADwJe+FN82PUdRYs7NmfOFWfpWYIeHsx/47eDcc01SvIZEtoNLLglv4NmtnH9++u9j\nnTlddWxEzOWpZnnRRfXhgsrHP17/M5+YaxU6noT2Oop15opCr3mtVr/fUp5qloC8bu/e+gq4+nfd\n4sxpO7rZQY8tcnD22fU/yyvmsrbriWXFiu75jMnRxcBAe5w5zRXvtJhrZv4RevZlEcqZi733W7E1\nwUKhK8IsVcwpoWqGrThnbAGUrDBLrXLZajFXLsv5Q9V30sKHspw5++cf+pCssOblkkuAk0/2/67Z\napZZ+HLmYh7kw8PtK/QQSzvz9vKWDe4FYnPmgMbEXH+/FCyJvW7XXJPv+HrcdkzedcPWkNswNBTO\nEeoGMeeOD27O3MxMfZhl1jYM7jhQKskxusWZ08/saHDmQn+bVtjARq9BK8Tctdc2fwxCfGgIdzvC\nLIHeEnONYodU6jN90yap2B0DxVw8hTtz9tYESrvEnJ4vZmuCWDH34ovptSlpIgAAEaBJREFUYm5w\nML8zl1XNslr1/z4k5laskN+5giatmmCISy4J/64VBVDS8O0zF7NJ6/CwfLZF8sd/LEUySBx5BOrQ\nUGPOnP211bTbmVu9Otz2VauAu+/2/64bxJybU2tfo8FBs6E0EJczB4QjFbrFtdEN249WMVcqyfMk\nj5jj5Ix0M+1y5kZH5XnVqgIoMbQjZz8Gu0Chirl3vCP+7+1qlkW0v5coXMzZYZZKu/Y7SZtguc7c\n976XFHPuRtQq5g4caE+YZVo1y9Bqc1qYpW9lO0YI5cEtgKICslUDoVYXVZvetzWBj+Hh7CT5dvOq\nVxV7/l4jNmcOaDzM0v7aatot5kIhloq9T6JNt+XMAf5qltrGrDBLdeB8oq2bxBzQ/WJuejqZF5qX\n2KqbrpgnpBtppzO3YkVnQ65HR4vJq/c5c3mgMxdPoWGWfX3JapaA7NZ+3XXtOycQtzXBq1+d/J3r\nzOn+cy++mL01QZ5OqGGWac5caDIWKuO9YoUUnHAJTfgaxXUGtRxuKycw+lmE9pnzMTxcXxSFdDd5\nnLmFKOaOPbaxv12/vviHop0zB9TnzM3MGFGRFWapvwuJuaKFq83SpcW7omncemtzm8jHirlWhlkS\n0i7UmTt0qLXPiRNOAN74xtYdL4bbbmv9fC8GnzOXB4q5eAp15srl+jDLq64C3vOe9pzTVy7cbo+K\nOa2qqfjEnG4ofvBgtphrdZhlaIKi19Sd+JRK/qT1K68Ezjgjvm1Z+MI8Y0Nv8pwjbZ85H8PD9Z8p\n6W7y5szlzYl094FrNe3MmduyRSqlNsLP/Vxr29IIWc5cnjBL/V0vOHP/9m/Nb17dTprNK/6VX4nb\nAoBijvQC7XLmVq0C/uAPWne8GNz92zqFbWasXw/8wi/k+/tqVeZuc3PdHdXQDXRNmKX7gG8Hac6c\nHWb5/PMimB580PydK+Y0904rr2XtM5enjWliLi3MEkivNulSLscnosbgcwa/853mQnd851AxF8p/\ndFm0SKqnkd7hxBPjy4lffz1wyin5jt/Lzlyv73mVlTOXp5ql/k0vOHPdLORawbveFfc65syRXqBd\nOXMLCduZO/ZY4O1vz/f3lYpsVaMbn5MwXVfNsp1iLm2CZYdZqphbsybZVkWdub4+ef2xx4bDngYG\n8q14NhNmCcjfFTVp8Dlz7Qjl7O83my/HTJavvVb6GOkdbrwx/rV5V/uA3hZzvY67cOcLs4zdNFyP\n1+0FUIiBzhzpBdrlzC0k8qYZuVQqslVZI8X6FhqFFWwPVbPshDMXCrM8fFgE3Y4dyUlAWjXLUgk4\n7TTgi1/0nzNvZ1aB2Mtirp0Dn34Wk5PJc6ZRq3V3rgrpPAMDjW02HktaSPdCR8fNUJjlvn31YZZp\nY1oozHJ83IwTpHtgARTSC9CZax7bmWuESgXYtq210V1HK4WHWb74ogioTgzwsc6cXU1Nf+eKuQMH\n5D1k7WGW15lLCwXV46WJufHx4lajtXplOyew6szlEXOEuLR7b7525+T1MlqBslaT7+3x0a3I20yY\n5d13h/fbI8VBZ470AoODFHPN0gpnbv9+YGKidW06WilUzA0MiChSlwto78M3dmsCIN6Zy3J8Bgfz\nTeiyxFxWztx//EfrtxyIpROuoObMjY42Vh2JEKD9Yo5hlunoxubuwo+OHzqGNVMAhUKuO2HOHOkF\nBgbEbHj6aTpDjdKsM6cLPrz+2RQWZqmT8v375as+1IsKs7SdOSDbmVMHKkvM5a1mqZOX0ETzlFOA\ns84K/31RQg6o34+vHfT3mxC5yUlOlkljaD9q5/EBhlmGuO8+YPHi+vtXP5NNm+RrbM4cc+N6Bzpz\npBdQZ+4rXwEuuKDo1vQmrXDmADpzMRTuzO3bZ8LzgOLCLO2tCYB6Z84WKZWKceayqqU1kjMXaiMA\nXHhh/LE6TbsnyIBZBACkCArFHGkEhlkWy9q1yYgMRa/bli3yVX+f9llRzPUWFHOkF+jrk0J3//RP\nwKc+VXRrepOJieaEmM6d6cxlU3jOXBHOXCfDLBvZZy7Uxm6n2VWYGDRnDhBnjs4HaQSGWRaPfS8r\nL7wgX3XLFF30S8s7rlS6awsCkg7FHOkVfvmXZSxasqTolvQmn/hEc3M0OnPxFLo1QX9/Mc5cK8Is\n+/qkzTE5c42EWfbiJHDVKuBLX2rvOWo1kwvDMEvSKJ0Sc1xsCONz5nQ81Z+Xy9kLRBRzvQVz5kiv\n8LnPFd2C3qbZZyyduXgKD7PsNmdubk7+H+vMxYRZLhRnrlQCTj21vef46leBZcvke4ZZkkahM1c8\ndsi08trXSmiTsmgRcNtt6ce56SbgmGNa3z7SHspl+UdnjhCSBp25eAoPszxwIBlG0w1bEwBxzlxM\nmOWxx+briL0s5jrB8uXm+6kpEZCE5IU5c8VjL+KFKJWyN4Vfv751bSKdob+fYo4Qkk6pJPNtirls\nuiLM0i5RXVSYZVoBlF/8RWDlSvP/PGLune/M10aKuXiuu844qYTkgWGWxeNz5sjCgGKOEBJDpcIw\nyxi6JsyyE85cngIotjP30z+dfO2aNbL/yLe/nS3m8tLLOXOdZtWqoltAehWKueKJcebI0Ul/P3Pm\nCCHZVCp05mIoPMzy0KHkQ72oTcPtMMtaLb3U9cUXy9c77mh94j2dOULaT7s3nNcFqrQqjAsdOnML\nl7y55ISQhcnIiKTUkHQKD7MEks5cO1frYp25Wi1OpMWEWbayjYSQ1tCJnDm6Tun4qlmShQHDLAkh\nMdx9dzLNifgpbN1YwywB48wNDrZ3JTt2a4KhobhNaNsh5vT9t3vzbUIWMu3e4N63hxpJwmu0cKEz\nRwiJgUIujkLFnC2uOlGqOHZrgjxijmGWhPQenciZ4z2cDp25hcudd0ruOSGEkObpmjDLvr72i7nY\nnLmbbgK2bMk+3saNwNq1rW0jxRwh7acTYo5CJR0K3oVLu/cjJYSQhUTh1SwBeaAvXw780R+195yx\nWxNceKGEfGbRjvaymiUh7acTOXO8h9NhARRCCCGkeboizFJXaC+9tL3njC2AUuSKOp05QtpPu8Xc\n9DRwww3tO/7RAMMsCSGEkObpGjHXCbLCLA8fBubniy0nTjFHSPsZGpJ/7WJgAPj1X2/f8Y8GGGZJ\nCCGENE9X5Mx1anVWzxMKszx4UL6WSp1pjw+KOULaz8UXAxdcUHQrFjZ05gghhJDmKTRnTv91izP3\n4ovFTy6YM0dI+6lU2runJclmeDiuajAhhBBCwhQq5oDOhtpk5cypM1ckdOYIIQuBV74S2Ly56FYQ\nQgghvU1h0kVFSyervmVVszx4sHhnzr4uhBBytFIuA2NjRbeCEEII6W0KLYACdNaZywqz7AYxxzBL\nQgghhBBCSAwLSszFhFkWLeYYZkkIIYQQQgiJoSvCLDsloNLCLLulAArFHCGEEEIIISQGOnNWe+jM\nEUIIIYQQQnqFBSXmuDUBIYQQQggh5GihK8IsO+3MZW0aXiR05gghhBBCCCExLChnrlwGVq5kmCUh\nhBBCCCGk91lQm4aXSsATT/h/x60JCCGEEEIIIb1EV4RZFi2gADpzhBBCCCGEkN5iQYVZptEtBVBs\nkUsIIYQQQgghISjmYNpx4EDxYo5hloQQQgghhJAYChdznaxmmUa1CszOFi/mGGZJCCGEEEIIiaHw\nnLluceYo5gghhBBCCCG9ROHOXDeJuQMHit9njmGWhBBCCCGEkBgakS41AHcA+CaALwOYCrxuGsAP\nAQz6flmtytduqWap7emGtgwOUswRQgghhBBC0mlEzF0H4AEAPwXgNgAf8LzmAgBfA7AkdJBSSb52\nkzMHdIeYu/9+EXSEEEIIIYQQEqIRMXc2gLuOfH8XgPM8rzkM4KcB7Mw6GMVcPS99adEtIIQQQggh\nhHQ7WTLqagDvcn72DIA9R77fC2Dc83dfj21AN1WzBLpDzBFCCCGEEEJIFlky6s+P/LO5A8Doke9H\nAexqqgF05gghhBBCCCEkN43IqHsAXATg2wAuhBRCyc3v/u7vAgAeewzYseMcAOc0cpiWQTFHCCGE\nEEIIaRdbt27F1q1bW3rMUgN/UwPwFwCWAzgA4BcBPAvg3QAeBvD31mv/G8A6AC86x5ifn59v4NTt\npVIBzj0XuOuu7NcSQgghhBBCSKOUpCJkI3rsJzTizO0DcKnn5//L87OXNHD8wqhWi99njhBCCCGE\nEEJioHSxqFYZZkkIIYQQQgjpDSjmLCjmCCGEEEIIIb0CxZwFxRwhhBBCCCGkV6CYs6CYI4QQQggh\nhPQKFHMWFHOEEEIIIYSQXoFizoJijhBCCCGEENIrUMxZcGsCQgghhBBCSK9A6WJBZ44QQgghhBDS\nK1DMWVDMEUIIIYQQQnoFijkLijlCCCGEEEJIr0AxZ0ExRwghhBBCCOkV+otuQDdRrQJzc0W3ghBC\nCCGEEEKyoTNnQWeOEEIIIYQQ0itQzFlQzBFCCCGEEEJ6BYZZWoyOAgcPFt0KQgghhBBCCMmmVNB5\n5+fn5ws6dZjZWeDQIWB8vOiWEEIIIYQQQo5mSqUS0KQeo5gjhBBCCCGEkA7TCjHHnDlCCCGEEEII\n6UEo5gghhBBCCCGkB6GYI4QQQgghhJAehGKOEEIIIYQQQnoQijlCCCGEEEII6UEo5gghhBBCCCGk\nB6GYI4QQQgghhJAehGKOEEIIIYQQQnoQijlCCCGEEEII6UEo5gghhBBCCCGkB6GYI4QQQgghhJAe\nhGKOEEIIIYQQQnoQijlCCCGEEEII6UEo5gix2Lp1a9FNICQI+yfpVtg3SbfCvkmOdijmCLHgoE+6\nGfZP0q2wb5JuhX2THO1QzBFCCCGEEEJID0IxRwghhBBCCCE9SKmg834XwCkFnZsQQgghhBBCiuYB\nAJuKbgQhhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIaYoygE8D+BaAbwBYW2xzyAJlAMDnAXwTwL8D\neD2A4wHcfeRnn4LJJX0LgG8DuBfAz3S8pWShsgTA4wBOBPsm6S5+C/IM/zaAXwH7J+kOygBuhemL\nJ4F9kxTPyyF6B8jXH2sA7jjy2i8DmOpQe6O4GHKzAfIG7yywLWTh8qsA/vDI94sAPAbg7wD81JGf\n/W8APw9gGYD/gIi/sSPfD3ayoWRBMgDg/wB4CDIh+RLYN0l3cA6kPwLAMIAbwbGTdAevBXD7ke/P\ng0yE2TdJkVwP6V/fOvL/PM/y/wngd4689jIAn8g6WSe3JjgbwF1Hvv93AKd18NyEKH8Nc5OUARwE\nsAWyAgIA/wh5GPwPAPcc+f0eAA8D2NjRlpKFyM2Qgf7pI/9n3yTdwmsAfA+yEPv3kMnJqWD/JMWz\nD8A4xO0YB/Ai2DdJsTwMMbHUgcvzLLf10l1HXptKJ8XcGKSxyuEOn58QAJgFMANgFCLsPoBkP9wL\neRiMAdjt+Tkh7eJXATwH4GtH/l9CcvsY9k1SJNOQCfIlAH4NwBfA/km6g3sAVCERDX8K4JNg3yTF\n8rcADln/z9Mfbb0U1Uc7Kab2QCbQ9rnnOnh+QpTVAP4FwG0A/grJfjgGYBfq++sogJ2daiBZkFwF\n4HxIjP0mAH8BmUAr7JukSLZDFhoOAfghgP1ITjLYP0lRXA8RdCdBxs7bIKFrCvsmKZrYeab7c/1Z\nKp0Uc/cAuOjI92dAYkMJ6TRLIROS6wF87sjP7gfwqiPfXwixwv8fgFcCqEAmLOsBPNjJhpIFx6sg\neUnnAvgugF+GhFiwb5Ju4G5IbhIArAAwBOCfwf5JimcYxsnYCaAffK6T7iJPf7T1kr62ayhBckHu\nOfLvxGKbQxYotwB4CuJ+6L+NALZCElU/A2OHXwO52e4D8AudbihZ0HwDMkaeAPZN0j18HKbfnQ/2\nT9IdTEAKR/1fAP8G4HKwb5LiORamAEqe/lgD8EVIf/46pMI1IYQQQgghhBBCCCGEEEIIIYQQQggh\nhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIaSd\n/H+yljuZJJv9kQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f96242f2590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(2, 1, 2))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_ARIMA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert to original scale:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "date\n",
      "2012-05-21    0.001067\n",
      "2012-05-22    0.001249\n",
      "2012-05-23   -0.000572\n",
      "2012-05-24    0.000660\n",
      "2012-05-25    0.003354\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predictions_ARIMA_diff = pd.Series(results_ARIMA.fittedvalues, copy=True)\n",
    "print predictions_ARIMA_diff.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "date\n",
      "2012-05-21    0.001067\n",
      "2012-05-22    0.002316\n",
      "2012-05-23    0.001745\n",
      "2012-05-24    0.002405\n",
      "2012-05-25    0.005759\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()\n",
    "print predictions_ARIMA_diff_cumsum.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2012-05-18    3.643621\n",
       "2012-05-21    3.644688\n",
       "2012-05-22    3.645937\n",
       "2012-05-23    3.645365\n",
       "2012-05-24    3.646026\n",
       "dtype: float64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions_ARIMA_log = pd.Series(ts_log.ix[0], index=ts_log.index)\n",
    "predictions_ARIMA_log = predictions_ARIMA_log.add(predictions_ARIMA_diff_cumsum,fill_value=0)\n",
    "predictions_ARIMA_log.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f96242f20d0>]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AtQYbVfr0geRkC3nbtlkHyaFDD/2+2rJwIZx0klX7XnwRRo+2A8Lvuefofv9E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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f96242f26d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ts_log)\n",
    "plt.plot(predictions_ARIMA_log)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f96241e4150>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CChUgJgbmzYP338/bZxbJSgFOREREREqEo0chPBxuvRXuuANcPeJ5cvbz/HPg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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9624633ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions_ARIMA = np.exp(predictions_ARIMA_log)\n",
    "plt.plot(ts)\n",
    "plt.plot(predictions_ARIMA)\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((predictions_ARIMA-ts)**2)/len(ts)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
